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Finding the Third Proportional to 910,591,464 and 1,959,290,868

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Solution

The third proportional to 910,591,464 and 1,959,290,868 is: 4,215,744,224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,591,464 : 1,959,290,868 = 1,959,290,868 : x
  2. Step 2: Convert to fraction form
    910,591,464/1,959,290,868 = 1,959,290,868/x
  3. Step 3: Cross multiply
    910,591,464x = 1,959,290,868 × 1,959,290,868
  4. Step 4: Simplify right side
    910,591,464x = 3,838,820,705,428,193,280
  5. Step 5: Solve for x
    x = 3,838,820,705,428,193,280/910,591,464
  6. Step 6: Final answer
    x = 4,215,744,224.71

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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.