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Finding the Third Proportional to 767,353,860 and 1,664,951,832

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Solution

The third proportional to 767,353,860 and 1,664,951,832 is: 3,612,498,414.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,353,860 : 1,664,951,832 = 1,664,951,832 : x
  2. Step 2: Convert to fraction form
    767,353,860/1,664,951,832 = 1,664,951,832/x
  3. Step 3: Cross multiply
    767,353,860x = 1,664,951,832 × 1,664,951,832
  4. Step 4: Simplify right side
    767,353,860x = 2,772,064,602,880,156,160
  5. Step 5: Solve for x
    x = 2,772,064,602,880,156,160/767,353,860
  6. Step 6: Final answer
    x = 3,612,498,414.85

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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.