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Finding the Third Proportional to 7,218,470 and 10,156,241

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Solution

The third proportional to 7,218,470 and 10,156,241 is: 14,289,625.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218,470 : 10,156,241 = 10,156,241 : x
  2. Step 2: Convert to fraction form
    7,218,470/10,156,241 = 10,156,241/x
  3. Step 3: Cross multiply
    7,218,470x = 10,156,241 × 10,156,241
  4. Step 4: Simplify right side
    7,218,470x = 103,149,231,250,081
  5. Step 5: Solve for x
    x = 103,149,231,250,081/7,218,470
  6. Step 6: Final answer
    x = 14,289,625.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.