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Finding the Third Proportional to 615,645,758 and 1,354,419,448

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Solution

The third proportional to 615,645,758 and 1,354,419,448 is: 2,979,720,102.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,645,758 : 1,354,419,448 = 1,354,419,448 : x
  2. Step 2: Convert to fraction form
    615,645,758/1,354,419,448 = 1,354,419,448/x
  3. Step 3: Cross multiply
    615,645,758x = 1,354,419,448 × 1,354,419,448
  4. Step 4: Simplify right side
    615,645,758x = 1,834,452,041,120,624,640
  5. Step 5: Solve for x
    x = 1,834,452,041,120,624,640/615,645,758
  6. Step 6: Final answer
    x = 2,979,720,102.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.