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Finding the Third Proportional to 998,212,314.75 and 1,551,754,056.75

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Solution

The third proportional to 998,212,314.75 and 1,551,754,056.75 is: 2,412,253,001.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,212,314.75 : 1,551,754,056.75 = 1,551,754,056.75 : x
  2. Step 2: Convert to fraction form
    998,212,314.75/1,551,754,056.75 = 1,551,754,056.75/x
  3. Step 3: Cross multiply
    998,212,314.75x = 1,551,754,056.75 × 1,551,754,056.75
  4. Step 4: Simplify right side
    998,212,314.75x = 2,407,940,652,640,082,432
  5. Step 5: Solve for x
    x = 2,407,940,652,640,082,432/998,212,314.75
  6. Step 6: Final answer
    x = 2,412,253,001.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.