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Finding the Third Proportional to 237,740,332 and 517,686,619

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Solution

The third proportional to 237,740,332 and 517,686,619 is: 1,127,277,955.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,740,332 : 517,686,619 = 517,686,619 : x
  2. Step 2: Convert to fraction form
    237,740,332/517,686,619 = 517,686,619/x
  3. Step 3: Cross multiply
    237,740,332x = 517,686,619 × 517,686,619
  4. Step 4: Simplify right side
    237,740,332x = 267,999,435,491,651,168
  5. Step 5: Solve for x
    x = 267,999,435,491,651,168/237,740,332
  6. Step 6: Final answer
    x = 1,127,277,955.90

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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.