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Finding the Third Proportional to 10,883,536 and 15,732,961

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Solution

The third proportional to 10,883,536 and 15,732,961 is: 22,743,165.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883,536 : 15,732,961 = 15,732,961 : x
  2. Step 2: Convert to fraction form
    10,883,536/15,732,961 = 15,732,961/x
  3. Step 3: Cross multiply
    10,883,536x = 15,732,961 × 15,732,961
  4. Step 4: Simplify right side
    10,883,536x = 247,526,061,827,521
  5. Step 5: Solve for x
    x = 247,526,061,827,521/10,883,536
  6. Step 6: Final answer
    x = 22,743,165.62

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.