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Finding the Third Proportional to 12,777,720 and 27,711,360

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Solution

The third proportional to 12,777,720 and 27,711,360 is: 60,098,317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777,720 : 27,711,360 = 27,711,360 : x
  2. Step 2: Convert to fraction form
    12,777,720/27,711,360 = 27,711,360/x
  3. Step 3: Cross multiply
    12,777,720x = 27,711,360 × 27,711,360
  4. Step 4: Simplify right side
    12,777,720x = 767,919,473,049,600
  5. Step 5: Solve for x
    x = 767,919,473,049,600/12,777,720
  6. Step 6: Final answer
    x = 60,098,317.47

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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.