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Finding the Third Proportional to 641,589,800,683.10 and 1,376,316,844,219.10

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Solution

The third proportional to 641,589,800,683.10 and 1,376,316,844,219.10 is: 2,952,428,566,764.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,589,800,683.10 : 1,376,316,844,219.10 = 1,376,316,844,219.10 : x
  2. Step 2: Convert to fraction form
    641,589,800,683.10/1,376,316,844,219.10 = 1,376,316,844,219.10/x
  3. Step 3: Cross multiply
    641,589,800,683.10x = 1,376,316,844,219.10 × 1,376,316,844,219.10
  4. Step 4: Simplify right side
    641,589,800,683.10x = 1,894,248,055,681,222,560,448,512
  5. Step 5: Solve for x
    x = 1,894,248,055,681,222,560,448,512/641,589,800,683.10
  6. Step 6: Final answer
    x = 2,952,428,566,764.03

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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.