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Finding the Third Proportional to 5,711,413 and 12,464,638

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Solution

The third proportional to 5,711,413 and 12,464,638 is: 27,202,935.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711,413 : 12,464,638 = 12,464,638 : x
  2. Step 2: Convert to fraction form
    5,711,413/12,464,638 = 12,464,638/x
  3. Step 3: Cross multiply
    5,711,413x = 12,464,638 × 12,464,638
  4. Step 4: Simplify right side
    5,711,413x = 155,367,200,471,044
  5. Step 5: Solve for x
    x = 155,367,200,471,044/5,711,413
  6. Step 6: Final answer
    x = 27,202,935.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.