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Finding the Third Proportional to 82,862,786 and 125,445,795

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Solution

The third proportional to 82,862,786 and 125,445,795 is: 189,912,121.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,862,786 : 125,445,795 = 125,445,795 : x
  2. Step 2: Convert to fraction form
    82,862,786/125,445,795 = 125,445,795/x
  3. Step 3: Cross multiply
    82,862,786x = 125,445,795 × 125,445,795
  4. Step 4: Simplify right side
    82,862,786x = 15,736,647,483,182,024
  5. Step 5: Solve for x
    x = 15,736,647,483,182,024/82,862,786
  6. Step 6: Final answer
    x = 189,912,121.51

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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.