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Finding the Third Proportional to 14,582,403 and 31,909,734

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Solution

The third proportional to 14,582,403 and 31,909,734 is: 69,826,017.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,582,403 : 31,909,734 = 31,909,734 : x
  2. Step 2: Convert to fraction form
    14,582,403/31,909,734 = 31,909,734/x
  3. Step 3: Cross multiply
    14,582,403x = 31,909,734 × 31,909,734
  4. Step 4: Simplify right side
    14,582,403x = 1,018,231,123,950,756
  5. Step 5: Solve for x
    x = 1,018,231,123,950,756/14,582,403
  6. Step 6: Final answer
    x = 69,826,017.29

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.