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Finding the Third Proportional to 37,831,207,444 and 83,373,619,822

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Solution

The third proportional to 37,831,207,444 and 83,373,619,822 is: 183,741,438,665.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,831,207,444 : 83,373,619,822 = 83,373,619,822 : x
  2. Step 2: Convert to fraction form
    37,831,207,444/83,373,619,822 = 83,373,619,822/x
  3. Step 3: Cross multiply
    37,831,207,444x = 83,373,619,822 × 83,373,619,822
  4. Step 4: Simplify right side
    37,831,207,444x = 6,951,160,482,223,391,506,432
  5. Step 5: Solve for x
    x = 6,951,160,482,223,391,506,432/37,831,207,444
  6. Step 6: Final answer
    x = 183,741,438,665.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.