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Finding the Third Proportional to 9,705,498 and 15,223,743

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Solution

The third proportional to 9,705,498 and 15,223,743 is: 23,879,490.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705,498 : 15,223,743 = 15,223,743 : x
  2. Step 2: Convert to fraction form
    9,705,498/15,223,743 = 15,223,743/x
  3. Step 3: Cross multiply
    9,705,498x = 15,223,743 × 15,223,743
  4. Step 4: Simplify right side
    9,705,498x = 231,762,350,930,049
  5. Step 5: Solve for x
    x = 231,762,350,930,049/9,705,498
  6. Step 6: Final answer
    x = 23,879,490.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.