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Finding the Third Proportional to 82,862,694 and 125,445,657

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Solution

The third proportional to 82,862,694 and 125,445,657 is: 189,911,914.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,862,694 : 125,445,657 = 125,445,657 : x
  2. Step 2: Convert to fraction form
    82,862,694/125,445,657 = 125,445,657/x
  3. Step 3: Cross multiply
    82,862,694x = 125,445,657 × 125,445,657
  4. Step 4: Simplify right side
    82,862,694x = 15,736,612,860,161,648
  5. Step 5: Solve for x
    x = 15,736,612,860,161,648/82,862,694
  6. Step 6: Final answer
    x = 189,911,914.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.