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Finding the Third Proportional to 3,791,591,258 and 8,243,129,239

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Solution

The third proportional to 3,791,591,258 and 8,243,129,239 is: 17,921,019,178.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791,591,258 : 8,243,129,239 = 8,243,129,239 : x
  2. Step 2: Convert to fraction form
    3,791,591,258/8,243,129,239 = 8,243,129,239/x
  3. Step 3: Cross multiply
    3,791,591,258x = 8,243,129,239 × 8,243,129,239
  4. Step 4: Simplify right side
    3,791,591,258x = 67,949,179,650,856,722,432
  5. Step 5: Solve for x
    x = 67,949,179,650,856,722,432/3,791,591,258
  6. Step 6: Final answer
    x = 17,921,019,178.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.