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Finding the Third Proportional to 1,059,419,048 and 2,280,750,352

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Solution

The third proportional to 1,059,419,048 and 2,280,750,352 is: 4,910,070,456.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059,419,048 : 2,280,750,352 = 2,280,750,352 : x
  2. Step 2: Convert to fraction form
    1,059,419,048/2,280,750,352 = 2,280,750,352/x
  3. Step 3: Cross multiply
    1,059,419,048x = 2,280,750,352 × 2,280,750,352
  4. Step 4: Simplify right side
    1,059,419,048x = 5,201,822,168,148,123,648
  5. Step 5: Solve for x
    x = 5,201,822,168,148,123,648/1,059,419,048
  6. Step 6: Final answer
    x = 4,910,070,456.04

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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.