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Finding the Third Proportional to 661,142,760 and 1,441,328,472

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Solution

The third proportional to 661,142,760 and 1,441,328,472 is: 3,142,177,287.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,142,760 : 1,441,328,472 = 1,441,328,472 : x
  2. Step 2: Convert to fraction form
    661,142,760/1,441,328,472 = 1,441,328,472/x
  3. Step 3: Cross multiply
    661,142,760x = 1,441,328,472 × 1,441,328,472
  4. Step 4: Simplify right side
    661,142,760x = 2,077,427,764,197,854,720
  5. Step 5: Solve for x
    x = 2,077,427,764,197,854,720/661,142,760
  6. Step 6: Final answer
    x = 3,142,177,287.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.