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Finding the Third Proportional to 8,960,497 and 19,662,817

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Solution

The third proportional to 8,960,497 and 19,662,817 is: 43,147,871.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,960,497 : 19,662,817 = 19,662,817 : x
  2. Step 2: Convert to fraction form
    8,960,497/19,662,817 = 19,662,817/x
  3. Step 3: Cross multiply
    8,960,497x = 19,662,817 × 19,662,817
  4. Step 4: Simplify right side
    8,960,497x = 386,626,372,375,489
  5. Step 5: Solve for x
    x = 386,626,372,375,489/8,960,497
  6. Step 6: Final answer
    x = 43,147,871.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.