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Finding the Third Proportional to 9,966,863 and 15,614,670

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Solution

The third proportional to 9,966,863 and 15,614,670 is: 24,462,854.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966,863 : 15,614,670 = 15,614,670 : x
  2. Step 2: Convert to fraction form
    9,966,863/15,614,670 = 15,614,670/x
  3. Step 3: Cross multiply
    9,966,863x = 15,614,670 × 15,614,670
  4. Step 4: Simplify right side
    9,966,863x = 243,817,919,208,900
  5. Step 5: Solve for x
    x = 243,817,919,208,900/9,966,863
  6. Step 6: Final answer
    x = 24,462,854.48

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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.