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Finding the Third Proportional to 1,278,306,121 and 2,750,765,354

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Solution

The third proportional to 1,278,306,121 and 2,750,765,354 is: 5,919,325,510.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278,306,121 : 2,750,765,354 = 2,750,765,354 : x
  2. Step 2: Convert to fraction form
    1,278,306,121/2,750,765,354 = 2,750,765,354/x
  3. Step 3: Cross multiply
    1,278,306,121x = 2,750,765,354 × 2,750,765,354
  4. Step 4: Simplify right side
    1,278,306,121x = 7,566,710,032,766,745,600
  5. Step 5: Solve for x
    x = 7,566,710,032,766,745,600/1,278,306,121
  6. Step 6: Final answer
    x = 5,919,325,510.89

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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.