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Finding the Third Proportional to 35,476,368 and 76,490,218.50

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Solution

The third proportional to 35,476,368 and 76,490,218.50 is: 164,919,743.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,476,368 : 76,490,218.50 = 76,490,218.50 : x
  2. Step 2: Convert to fraction form
    35,476,368/76,490,218.50 = 76,490,218.50/x
  3. Step 3: Cross multiply
    35,476,368x = 76,490,218.50 × 76,490,218.50
  4. Step 4: Simplify right side
    35,476,368x = 5,850,753,526,177,742
  5. Step 5: Solve for x
    x = 5,850,753,526,177,742/35,476,368
  6. Step 6: Final answer
    x = 164,919,743.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.