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Finding the Third Proportional to 7,571,214 and 16,656,379

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Solution

The third proportional to 7,571,214 and 16,656,379 is: 36,643,391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571,214 : 16,656,379 = 16,656,379 : x
  2. Step 2: Convert to fraction form
    7,571,214/16,656,379 = 16,656,379/x
  3. Step 3: Cross multiply
    7,571,214x = 16,656,379 × 16,656,379
  4. Step 4: Simplify right side
    7,571,214x = 277,434,961,391,641
  5. Step 5: Solve for x
    x = 277,434,961,391,641/7,571,214
  6. Step 6: Final answer
    x = 36,643,391.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.