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Finding the Third Proportional to 10,883,538 and 15,732,964

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Solution

The third proportional to 10,883,538 and 15,732,964 is: 22,743,170.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883,538 : 15,732,964 = 15,732,964 : x
  2. Step 2: Convert to fraction form
    10,883,538/15,732,964 = 15,732,964/x
  3. Step 3: Cross multiply
    10,883,538x = 15,732,964 × 15,732,964
  4. Step 4: Simplify right side
    10,883,538x = 247,526,156,225,296
  5. Step 5: Solve for x
    x = 247,526,156,225,296/10,883,538
  6. Step 6: Final answer
    x = 22,743,170.12

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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.