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Finding the Third Proportional to 7,750,288 and 12,761,659

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Solution

The third proportional to 7,750,288 and 12,761,659 is: 21,013,404.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750,288 : 12,761,659 = 12,761,659 : x
  2. Step 2: Convert to fraction form
    7,750,288/12,761,659 = 12,761,659/x
  3. Step 3: Cross multiply
    7,750,288x = 12,761,659 × 12,761,659
  4. Step 4: Simplify right side
    7,750,288x = 162,859,940,432,281
  5. Step 5: Solve for x
    x = 162,859,940,432,281/7,750,288
  6. Step 6: Final answer
    x = 21,013,404.98

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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.