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Finding the Third Proportional to 38,862,720.75 and 83,106,280.88

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Solution

The third proportional to 38,862,720.75 and 83,106,280.88 is: 177,719,258.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,862,720.75 : 83,106,280.88 = 83,106,280.88 : x
  2. Step 2: Convert to fraction form
    38,862,720.75/83,106,280.88 = 83,106,280.88/x
  3. Step 3: Cross multiply
    38,862,720.75x = 83,106,280.88 × 83,106,280.88
  4. Step 4: Simplify right side
    38,862,720.75x = 6,906,653,920,874,391
  5. Step 5: Solve for x
    x = 6,906,653,920,874,391/38,862,720.75
  6. Step 6: Final answer
    x = 177,719,258.65

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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.