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Finding the Third Proportional to 641,589,800,663.60 and 1,376,316,844,180.90

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Solution

The third proportional to 641,589,800,663.60 and 1,376,316,844,180.90 is: 2,952,428,566,689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,589,800,663.60 : 1,376,316,844,180.90 = 1,376,316,844,180.90 : x
  2. Step 2: Convert to fraction form
    641,589,800,663.60/1,376,316,844,180.90 = 1,376,316,844,180.90/x
  3. Step 3: Cross multiply
    641,589,800,663.60x = 1,376,316,844,180.90 × 1,376,316,844,180.90
  4. Step 4: Simplify right side
    641,589,800,663.60x = 1,894,248,055,576,071,560,495,104
  5. Step 5: Solve for x
    x = 1,894,248,055,576,071,560,495,104/641,589,800,663.60
  6. Step 6: Final answer
    x = 2,952,428,566,689.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.