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Finding the Third Proportional to 10,090,488 and 15,654,025

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Solution

The third proportional to 10,090,488 and 15,654,025 is: 24,285,098.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090,488 : 15,654,025 = 15,654,025 : x
  2. Step 2: Convert to fraction form
    10,090,488/15,654,025 = 15,654,025/x
  3. Step 3: Cross multiply
    10,090,488x = 15,654,025 × 15,654,025
  4. Step 4: Simplify right side
    10,090,488x = 245,048,498,700,625
  5. Step 5: Solve for x
    x = 245,048,498,700,625/10,090,488
  6. Step 6: Final answer
    x = 24,285,098.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.