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Finding the Third Proportional to 14,157,096 and 31,015,317

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Solution

The third proportional to 14,157,096 and 31,015,317 is: 67,948,249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157,096 : 31,015,317 = 31,015,317 : x
  2. Step 2: Convert to fraction form
    14,157,096/31,015,317 = 31,015,317/x
  3. Step 3: Cross multiply
    14,157,096x = 31,015,317 × 31,015,317
  4. Step 4: Simplify right side
    14,157,096x = 961,949,888,610,489
  5. Step 5: Solve for x
    x = 961,949,888,610,489/14,157,096
  6. Step 6: Final answer
    x = 67,948,249.32

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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.