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Finding the Third Proportional to 37,831,207,443 and 83,373,619,818

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Solution

The third proportional to 37,831,207,443 and 83,373,619,818 is: 183,741,438,652.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,831,207,443 : 83,373,619,818 = 83,373,619,818 : x
  2. Step 2: Convert to fraction form
    37,831,207,443/83,373,619,818 = 83,373,619,818/x
  3. Step 3: Cross multiply
    37,831,207,443x = 83,373,619,818 × 83,373,619,818
  4. Step 4: Simplify right side
    37,831,207,443x = 6,951,160,481,556,402,798,592
  5. Step 5: Solve for x
    x = 6,951,160,481,556,402,798,592/37,831,207,443
  6. Step 6: Final answer
    x = 183,741,438,652.99

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