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Finding the Third Proportional to 14,691,468 and 31,743,600

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Solution

The third proportional to 14,691,468 and 31,743,600 is: 68,587,845.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691,468 : 31,743,600 = 31,743,600 : x
  2. Step 2: Convert to fraction form
    14,691,468/31,743,600 = 31,743,600/x
  3. Step 3: Cross multiply
    14,691,468x = 31,743,600 × 31,743,600
  4. Step 4: Simplify right side
    14,691,468x = 1,007,656,140,960,000
  5. Step 5: Solve for x
    x = 1,007,656,140,960,000/14,691,468
  6. Step 6: Final answer
    x = 68,587,845.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.