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Finding the Third Proportional to 814,915,059.75 and 1,767,639,287.25

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Solution

The third proportional to 814,915,059.75 and 1,767,639,287.25 is: 3,834,201,629.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,915,059.75 : 1,767,639,287.25 = 1,767,639,287.25 : x
  2. Step 2: Convert to fraction form
    814,915,059.75/1,767,639,287.25 = 1,767,639,287.25/x
  3. Step 3: Cross multiply
    814,915,059.75x = 1,767,639,287.25 × 1,767,639,287.25
  4. Step 4: Simplify right side
    814,915,059.75x = 3,124,548,649,829,687,808
  5. Step 5: Solve for x
    x = 3,124,548,649,829,687,808/814,915,059.75
  6. Step 6: Final answer
    x = 3,834,201,629.29

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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.