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Finding the Third Proportional to 1,291,165,533 and 2,761,840,017

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Solution

The third proportional to 1,291,165,533 and 2,761,840,017 is: 5,907,654,816.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291,165,533 : 2,761,840,017 = 2,761,840,017 : x
  2. Step 2: Convert to fraction form
    1,291,165,533/2,761,840,017 = 2,761,840,017/x
  3. Step 3: Cross multiply
    1,291,165,533x = 2,761,840,017 × 2,761,840,017
  4. Step 4: Simplify right side
    1,291,165,533x = 7,627,760,279,502,560,256
  5. Step 5: Solve for x
    x = 7,627,760,279,502,560,256/1,291,165,533
  6. Step 6: Final answer
    x = 5,907,654,816.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.