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Finding the Third Proportional to 656,760,246 and 1,427,836,452

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Solution

The third proportional to 656,760,246 and 1,427,836,452 is: 3,104,202,707.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,760,246 : 1,427,836,452 = 1,427,836,452 : x
  2. Step 2: Convert to fraction form
    656,760,246/1,427,836,452 = 1,427,836,452/x
  3. Step 3: Cross multiply
    656,760,246x = 1,427,836,452 × 1,427,836,452
  4. Step 4: Simplify right side
    656,760,246x = 2,038,716,933,659,948,288
  5. Step 5: Solve for x
    x = 2,038,716,933,659,948,288/656,760,246
  6. Step 6: Final answer
    x = 3,104,202,707.27

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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.