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Finding the Third Proportional to 4,726,065 and 10,367,025

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Solution

The third proportional to 4,726,065 and 10,367,025 is: 22,740,949.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726,065 : 10,367,025 = 10,367,025 : x
  2. Step 2: Convert to fraction form
    4,726,065/10,367,025 = 10,367,025/x
  3. Step 3: Cross multiply
    4,726,065x = 10,367,025 × 10,367,025
  4. Step 4: Simplify right side
    4,726,065x = 107,475,207,350,625
  5. Step 5: Solve for x
    x = 107,475,207,350,625/4,726,065
  6. Step 6: Final answer
    x = 22,740,949.89

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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.