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Finding the Third Proportional to 62,516,912,103 and 84,349,992,340.13

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Solution

The third proportional to 62,516,912,103 and 84,349,992,340.13 is: 113,807,943,617.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,516,912,103 : 84,349,992,340.13 = 84,349,992,340.13 : x
  2. Step 2: Convert to fraction form
    62,516,912,103/84,349,992,340.13 = 84,349,992,340.13/x
  3. Step 3: Cross multiply
    62,516,912,103x = 84,349,992,340.13 × 84,349,992,340.13
  4. Step 4: Simplify right side
    62,516,912,103x = 7,114,921,207,779,146,334,208
  5. Step 5: Solve for x
    x = 7,114,921,207,779,146,334,208/62,516,912,103
  6. Step 6: Final answer
    x = 113,807,943,617.83

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.