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Finding the Third Proportional to 14,625,666 and 31,140,900

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Solution

The third proportional to 14,625,666 and 31,140,900 is: 66,305,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,625,666 : 31,140,900 = 31,140,900 : x
  2. Step 2: Convert to fraction form
    14,625,666/31,140,900 = 31,140,900/x
  3. Step 3: Cross multiply
    14,625,666x = 31,140,900 × 31,140,900
  4. Step 4: Simplify right side
    14,625,666x = 969,755,652,810,000
  5. Step 5: Solve for x
    x = 969,755,652,810,000/14,625,666
  6. Step 6: Final answer
    x = 66,305,059.39

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.