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Finding the Third Proportional to 641,589,800,667.40 and 1,376,316,844,187.60

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Solution

The third proportional to 641,589,800,667.40 and 1,376,316,844,187.60 is: 2,952,428,566,701.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,589,800,667.40 : 1,376,316,844,187.60 = 1,376,316,844,187.60 : x
  2. Step 2: Convert to fraction form
    641,589,800,667.40/1,376,316,844,187.60 = 1,376,316,844,187.60/x
  3. Step 3: Cross multiply
    641,589,800,667.40x = 1,376,316,844,187.60 × 1,376,316,844,187.60
  4. Step 4: Simplify right side
    641,589,800,667.40x = 1,894,248,055,594,514,686,935,040
  5. Step 5: Solve for x
    x = 1,894,248,055,594,514,686,935,040/641,589,800,667.40
  6. Step 6: Final answer
    x = 2,952,428,566,701.13

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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.