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Finding the Third Proportional to 2,846,141,034,365 and 4,335,898,993,637

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Solution

The third proportional to 2,846,141,034,365 and 4,335,898,993,637 is: 6,605,442,195,599.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846,141,034,365 : 4,335,898,993,637 = 4,335,898,993,637 : x
  2. Step 2: Convert to fraction form
    2,846,141,034,365/4,335,898,993,637 = 4,335,898,993,637/x
  3. Step 3: Cross multiply
    2,846,141,034,365x = 4,335,898,993,637 × 4,335,898,993,637
  4. Step 4: Simplify right side
    2,846,141,034,365x = 18,800,020,083,022,348,758,810,624
  5. Step 5: Solve for x
    x = 18,800,020,083,022,348,758,810,624/2,846,141,034,365
  6. Step 6: Final answer
    x = 6,605,442,195,599.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.