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Finding the Third Proportional to 641,589,800,663.30 and 1,376,316,844,179.80

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Solution

The third proportional to 641,589,800,663.30 and 1,376,316,844,179.80 is: 2,952,428,566,686.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,589,800,663.30 : 1,376,316,844,179.80 = 1,376,316,844,179.80 : x
  2. Step 2: Convert to fraction form
    641,589,800,663.30/1,376,316,844,179.80 = 1,376,316,844,179.80/x
  3. Step 3: Cross multiply
    641,589,800,663.30x = 1,376,316,844,179.80 × 1,376,316,844,179.80
  4. Step 4: Simplify right side
    641,589,800,663.30x = 1,894,248,055,573,043,876,986,880
  5. Step 5: Solve for x
    x = 1,894,248,055,573,043,876,986,880/641,589,800,663.30
  6. Step 6: Final answer
    x = 2,952,428,566,686.53

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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.