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Finding the Third Proportional to 7,934,778 and 11,871,414

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Solution

The third proportional to 7,934,778 and 11,871,414 is: 17,761,110.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934,778 : 11,871,414 = 11,871,414 : x
  2. Step 2: Convert to fraction form
    7,934,778/11,871,414 = 11,871,414/x
  3. Step 3: Cross multiply
    7,934,778x = 11,871,414 × 11,871,414
  4. Step 4: Simplify right side
    7,934,778x = 140,930,470,359,396
  5. Step 5: Solve for x
    x = 140,930,470,359,396/7,934,778
  6. Step 6: Final answer
    x = 17,761,110.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.