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Finding the Third Proportional to 910,591,395 and 1,959,290,742

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Solution

The third proportional to 910,591,395 and 1,959,290,742 is: 4,215,744,001.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,591,395 : 1,959,290,742 = 1,959,290,742 : x
  2. Step 2: Convert to fraction form
    910,591,395/1,959,290,742 = 1,959,290,742/x
  3. Step 3: Cross multiply
    910,591,395x = 1,959,290,742 × 1,959,290,742
  4. Step 4: Simplify right side
    910,591,395x = 3,838,820,211,686,910,464
  5. Step 5: Solve for x
    x = 3,838,820,211,686,910,464/910,591,395
  6. Step 6: Final answer
    x = 4,215,744,001.94

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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.