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Finding the Third Proportional to 10,883,534.50 and 15,732,960

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Solution

The third proportional to 10,883,534.50 and 15,732,960 is: 22,743,165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883,534.50 : 15,732,960 = 15,732,960 : x
  2. Step 2: Convert to fraction form
    10,883,534.50/15,732,960 = 15,732,960/x
  3. Step 3: Cross multiply
    10,883,534.50x = 15,732,960 × 15,732,960
  4. Step 4: Simplify right side
    10,883,534.50x = 247,526,030,361,600
  5. Step 5: Solve for x
    x = 247,526,030,361,600/10,883,534.50
  6. Step 6: Final answer
    x = 22,743,165.87

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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.