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Finding the Third Proportional to 9,635,780 and 14,187,459

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Solution

The third proportional to 9,635,780 and 14,187,459 is: 20,889,226.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635,780 : 14,187,459 = 14,187,459 : x
  2. Step 2: Convert to fraction form
    9,635,780/14,187,459 = 14,187,459/x
  3. Step 3: Cross multiply
    9,635,780x = 14,187,459 × 14,187,459
  4. Step 4: Simplify right side
    9,635,780x = 201,283,992,876,681
  5. Step 5: Solve for x
    x = 201,283,992,876,681/9,635,780
  6. Step 6: Final answer
    x = 20,889,226.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.