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Finding the Third Proportional to 12,777,684 and 27,711,262

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Solution

The third proportional to 12,777,684 and 27,711,262 is: 60,098,061.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777,684 : 27,711,262 = 27,711,262 : x
  2. Step 2: Convert to fraction form
    12,777,684/27,711,262 = 27,711,262/x
  3. Step 3: Cross multiply
    12,777,684x = 27,711,262 × 27,711,262
  4. Step 4: Simplify right side
    12,777,684x = 767,914,041,632,644
  5. Step 5: Solve for x
    x = 767,914,041,632,644/12,777,684
  6. Step 6: Final answer
    x = 60,098,061.72

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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.