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Finding the Third Proportional to 5,226,948 and 7,840,422

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Solution

The third proportional to 5,226,948 and 7,840,422 is: 11,760,633

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226,948 : 7,840,422 = 7,840,422 : x
  2. Step 2: Convert to fraction form
    5,226,948/7,840,422 = 7,840,422/x
  3. Step 3: Cross multiply
    5,226,948x = 7,840,422 × 7,840,422
  4. Step 4: Simplify right side
    5,226,948x = 61,472,217,138,084
  5. Step 5: Solve for x
    x = 61,472,217,138,084/5,226,948
  6. Step 6: Final answer
    x = 11,760,633

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.