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Finding the Third Proportional to 9,656,952 and 14,486,581

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Solution

The third proportional to 9,656,952 and 14,486,581 is: 21,731,601.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656,952 : 14,486,581 = 14,486,581 : x
  2. Step 2: Convert to fraction form
    9,656,952/14,486,581 = 14,486,581/x
  3. Step 3: Cross multiply
    9,656,952x = 14,486,581 × 14,486,581
  4. Step 4: Simplify right side
    9,656,952x = 209,861,029,069,561
  5. Step 5: Solve for x
    x = 209,861,029,069,561/9,656,952
  6. Step 6: Final answer
    x = 21,731,601.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.