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Finding the Third Proportional to 5,423,784 and 8,205,656

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Solution

The third proportional to 5,423,784 and 8,205,656 is: 12,414,356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,423,784 : 8,205,656 = 8,205,656 : x
  2. Step 2: Convert to fraction form
    5,423,784/8,205,656 = 8,205,656/x
  3. Step 3: Cross multiply
    5,423,784x = 8,205,656 × 8,205,656
  4. Step 4: Simplify right side
    5,423,784x = 67,332,790,390,336
  5. Step 5: Solve for x
    x = 67,332,790,390,336/5,423,784
  6. Step 6: Final answer
    x = 12,414,356.91

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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.