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Finding the Third Proportional to 7,750,295 and 12,761,670

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Solution

The third proportional to 7,750,295 and 12,761,670 is: 21,013,422.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750,295 : 12,761,670 = 12,761,670 : x
  2. Step 2: Convert to fraction form
    7,750,295/12,761,670 = 12,761,670/x
  3. Step 3: Cross multiply
    7,750,295x = 12,761,670 × 12,761,670
  4. Step 4: Simplify right side
    7,750,295x = 162,860,221,188,900
  5. Step 5: Solve for x
    x = 162,860,221,188,900/7,750,295
  6. Step 6: Final answer
    x = 21,013,422.22

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.