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Finding the Third Proportional to 982,082,649 and 2,127,627,348

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Solution

The third proportional to 982,082,649 and 2,127,627,348 is: 4,609,386,120.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,082,649 : 2,127,627,348 = 2,127,627,348 : x
  2. Step 2: Convert to fraction form
    982,082,649/2,127,627,348 = 2,127,627,348/x
  3. Step 3: Cross multiply
    982,082,649x = 2,127,627,348 × 2,127,627,348
  4. Step 4: Simplify right side
    982,082,649x = 4,526,798,131,957,513,216
  5. Step 5: Solve for x
    x = 4,526,798,131,957,513,216/982,082,649
  6. Step 6: Final answer
    x = 4,609,386,120.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.