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Finding the Third Proportional to 38,862,718.88 and 83,106,276.75

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Solution

The third proportional to 38,862,718.88 and 83,106,276.75 is: 177,719,249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,862,718.88 : 83,106,276.75 = 83,106,276.75 : x
  2. Step 2: Convert to fraction form
    38,862,718.88/83,106,276.75 = 83,106,276.75/x
  3. Step 3: Cross multiply
    38,862,718.88x = 83,106,276.75 × 83,106,276.75
  4. Step 4: Simplify right side
    38,862,718.88x = 6,906,653,235,247,591
  5. Step 5: Solve for x
    x = 6,906,653,235,247,591/38,862,718.88
  6. Step 6: Final answer
    x = 177,719,249.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.