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Finding the Third Proportional to 5,423,776 and 8,205,644

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Solution

The third proportional to 5,423,776 and 8,205,644 is: 12,414,338.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,423,776 : 8,205,644 = 8,205,644 : x
  2. Step 2: Convert to fraction form
    5,423,776/8,205,644 = 8,205,644/x
  3. Step 3: Cross multiply
    5,423,776x = 8,205,644 × 8,205,644
  4. Step 4: Simplify right side
    5,423,776x = 67,332,593,454,736
  5. Step 5: Solve for x
    x = 67,332,593,454,736/5,423,776
  6. Step 6: Final answer
    x = 12,414,338.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.