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Finding the Third Proportional to 327,029,022 and 717,619,374

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Solution

The third proportional to 327,029,022 and 717,619,374 is: 1,574,715,182.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,029,022 : 717,619,374 = 717,619,374 : x
  2. Step 2: Convert to fraction form
    327,029,022/717,619,374 = 717,619,374/x
  3. Step 3: Cross multiply
    327,029,022x = 717,619,374 × 717,619,374
  4. Step 4: Simplify right side
    327,029,022x = 514,977,565,940,151,872
  5. Step 5: Solve for x
    x = 514,977,565,940,151,872/327,029,022
  6. Step 6: Final answer
    x = 1,574,715,182.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.