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Finding the Third Proportional to 6,742,737 and 14,564,436

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Solution

The third proportional to 6,742,737 and 14,564,436 is: 31,459,449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742,737 : 14,564,436 = 14,564,436 : x
  2. Step 2: Convert to fraction form
    6,742,737/14,564,436 = 14,564,436/x
  3. Step 3: Cross multiply
    6,742,737x = 14,564,436 × 14,564,436
  4. Step 4: Simplify right side
    6,742,737x = 212,122,795,998,096
  5. Step 5: Solve for x
    x = 212,122,795,998,096/6,742,737
  6. Step 6: Final answer
    x = 31,459,449.78

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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.