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Finding the Third Proportional to 10,096,744 and 15,663,680

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Solution

The third proportional to 10,096,744 and 15,663,680 is: 24,299,999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096,744 : 15,663,680 = 15,663,680 : x
  2. Step 2: Convert to fraction form
    10,096,744/15,663,680 = 15,663,680/x
  3. Step 3: Cross multiply
    10,096,744x = 15,663,680 × 15,663,680
  4. Step 4: Simplify right side
    10,096,744x = 245,350,871,142,400
  5. Step 5: Solve for x
    x = 245,350,871,142,400/10,096,744
  6. Step 6: Final answer
    x = 24,299,999.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.