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Finding the Third Proportional to 62,746,838 and 135,913,384

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Solution

The third proportional to 62,746,838 and 135,913,384 is: 294,396,475.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,746,838 : 135,913,384 = 135,913,384 : x
  2. Step 2: Convert to fraction form
    62,746,838/135,913,384 = 135,913,384/x
  3. Step 3: Cross multiply
    62,746,838x = 135,913,384 × 135,913,384
  4. Step 4: Simplify right side
    62,746,838x = 18,472,447,950,331,456
  5. Step 5: Solve for x
    x = 18,472,447,950,331,456/62,746,838
  6. Step 6: Final answer
    x = 294,396,475.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.