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Finding the Third Proportional to 327,164,300,081.43 and 715,959,182,732.62

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Solution

The third proportional to 327,164,300,081.43 and 715,959,182,732.62 is: 1,566,789,381,395.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,164,300,081.43 : 715,959,182,732.62 = 715,959,182,732.62 : x
  2. Step 2: Convert to fraction form
    327,164,300,081.43/715,959,182,732.62 = 715,959,182,732.62/x
  3. Step 3: Cross multiply
    327,164,300,081.43x = 715,959,182,732.62 × 715,959,182,732.62
  4. Step 4: Simplify right side
    327,164,300,081.43x = 512,597,551,339,161,161,564,160
  5. Step 5: Solve for x
    x = 512,597,551,339,161,161,564,160/327,164,300,081.43
  6. Step 6: Final answer
    x = 1,566,789,381,395.15

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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.