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Finding the Third Proportional to 37,574,093.81 and 82,791,334.13

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Solution

The third proportional to 37,574,093.81 and 82,791,334.13 is: 182,423,694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,574,093.81 : 82,791,334.13 = 82,791,334.13 : x
  2. Step 2: Convert to fraction form
    37,574,093.81/82,791,334.13 = 82,791,334.13/x
  3. Step 3: Cross multiply
    37,574,093.81x = 82,791,334.13 × 82,791,334.13
  4. Step 4: Simplify right side
    37,574,093.81x = 6,854,405,006,197,390
  5. Step 5: Solve for x
    x = 6,854,405,006,197,390/37,574,093.81
  6. Step 6: Final answer
    x = 182,423,694.38

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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.