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Finding the Third Proportional to 635,124,759 and 1,375,787,610

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Solution

The third proportional to 635,124,759 and 1,375,787,610 is: 2,980,188,570.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,124,759 : 1,375,787,610 = 1,375,787,610 : x
  2. Step 2: Convert to fraction form
    635,124,759/1,375,787,610 = 1,375,787,610/x
  3. Step 3: Cross multiply
    635,124,759x = 1,375,787,610 × 1,375,787,610
  4. Step 4: Simplify right side
    635,124,759x = 1,892,791,547,829,512,192
  5. Step 5: Solve for x
    x = 1,892,791,547,829,512,192/635,124,759
  6. Step 6: Final answer
    x = 2,980,188,570.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.