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Finding the Third Proportional to 37,702,253,942 and 82,023,898,336

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Solution

The third proportional to 37,702,253,942 and 82,023,898,336 is: 178,448,744,963.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,702,253,942 : 82,023,898,336 = 82,023,898,336 : x
  2. Step 2: Convert to fraction form
    37,702,253,942/82,023,898,336 = 82,023,898,336/x
  3. Step 3: Cross multiply
    37,702,253,942x = 82,023,898,336 × 82,023,898,336
  4. Step 4: Simplify right side
    37,702,253,942x = 6,727,919,898,234,463,453,184
  5. Step 5: Solve for x
    x = 6,727,919,898,234,463,453,184/37,702,253,942
  6. Step 6: Final answer
    x = 178,448,744,963.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.