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Finding the Third Proportional to 37,702,253,940 and 82,023,898,332

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Solution

The third proportional to 37,702,253,940 and 82,023,898,332 is: 178,448,744,955.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,702,253,940 : 82,023,898,332 = 82,023,898,332 : x
  2. Step 2: Convert to fraction form
    37,702,253,940/82,023,898,332 = 82,023,898,332/x
  3. Step 3: Cross multiply
    37,702,253,940x = 82,023,898,332 × 82,023,898,332
  4. Step 4: Simplify right side
    37,702,253,940x = 6,727,919,897,578,271,932,416
  5. Step 5: Solve for x
    x = 6,727,919,897,578,271,932,416/37,702,253,940
  6. Step 6: Final answer
    x = 178,448,744,955.28

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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.