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Finding the Third Proportional to 7,567,569 and 17,766,076

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Solution

The third proportional to 7,567,569 and 17,766,076 is: 41,708,698.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567,569 : 17,766,076 = 17,766,076 : x
  2. Step 2: Convert to fraction form
    7,567,569/17,766,076 = 17,766,076/x
  3. Step 3: Cross multiply
    7,567,569x = 17,766,076 × 17,766,076
  4. Step 4: Simplify right side
    7,567,569x = 315,633,456,437,776
  5. Step 5: Solve for x
    x = 315,633,456,437,776/7,567,569
  6. Step 6: Final answer
    x = 41,708,698.85

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.