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Finding the Third Proportional to 1,291,165,535 and 2,761,840,021

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Solution

The third proportional to 1,291,165,535 and 2,761,840,021 is: 5,907,654,824.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291,165,535 : 2,761,840,021 = 2,761,840,021 : x
  2. Step 2: Convert to fraction form
    1,291,165,535/2,761,840,021 = 2,761,840,021/x
  3. Step 3: Cross multiply
    1,291,165,535x = 2,761,840,021 × 2,761,840,021
  4. Step 4: Simplify right side
    1,291,165,535x = 7,627,760,301,597,280,256
  5. Step 5: Solve for x
    x = 7,627,760,301,597,280,256/1,291,165,535
  6. Step 6: Final answer
    x = 5,907,654,824.13

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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.