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Finding the Third Proportional to 4,442,460,252,824.80 and 9,009,832,387,041.50

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Solution

The third proportional to 4,442,460,252,824.80 and 9,009,832,387,041.50 is: 18,273,000,774,956.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,442,460,252,824.80 : 9,009,832,387,041.50 = 9,009,832,387,041.50 : x
  2. Step 2: Convert to fraction form
    4,442,460,252,824.80/9,009,832,387,041.50 = 9,009,832,387,041.50/x
  3. Step 3: Cross multiply
    4,442,460,252,824.80x = 9,009,832,387,041.50 × 9,009,832,387,041.50
  4. Step 4: Simplify right side
    4,442,460,252,824.80x = 81,177,079,642,581,930,499,637,248
  5. Step 5: Solve for x
    x = 81,177,079,642,581,930,499,637,248/4,442,460,252,824.80
  6. Step 6: Final answer
    x = 18,273,000,774,956.71

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.