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Finding the Third Proportional to 57,527,866 and 123,593,778

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Solution

The third proportional to 57,527,866 and 123,593,778 is: 265,530,829.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,527,866 : 123,593,778 = 123,593,778 : x
  2. Step 2: Convert to fraction form
    57,527,866/123,593,778 = 123,593,778/x
  3. Step 3: Cross multiply
    57,527,866x = 123,593,778 × 123,593,778
  4. Step 4: Simplify right side
    57,527,866x = 15,275,421,960,313,284
  5. Step 5: Solve for x
    x = 15,275,421,960,313,284/57,527,866
  6. Step 6: Final answer
    x = 265,530,829.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.