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Finding the Third Proportional to 38,164,969,662 and 83,900,781,387.75

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Solution

The third proportional to 38,164,969,662 and 83,900,781,387.75 is: 184,445,086,156.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,164,969,662 : 83,900,781,387.75 = 83,900,781,387.75 : x
  2. Step 2: Convert to fraction form
    38,164,969,662/83,900,781,387.75 = 83,900,781,387.75/x
  3. Step 3: Cross multiply
    38,164,969,662x = 83,900,781,387.75 × 83,900,781,387.75
  4. Step 4: Simplify right side
    38,164,969,662x = 7,039,341,117,475,017,195,520
  5. Step 5: Solve for x
    x = 7,039,341,117,475,017,195,520/38,164,969,662
  6. Step 6: Final answer
    x = 184,445,086,156.69

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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.