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Finding the Third Proportional to 37,322,013,740 and 82,251,442,436

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Solution

The third proportional to 37,322,013,740 and 82,251,442,436 is: 181,268,348,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,322,013,740 : 82,251,442,436 = 82,251,442,436 : x
  2. Step 2: Convert to fraction form
    37,322,013,740/82,251,442,436 = 82,251,442,436/x
  3. Step 3: Cross multiply
    37,322,013,740x = 82,251,442,436 × 82,251,442,436
  4. Step 4: Simplify right side
    37,322,013,740x = 6,765,299,782,802,621,857,792
  5. Step 5: Solve for x
    x = 6,765,299,782,802,621,857,792/37,322,013,740
  6. Step 6: Final answer
    x = 181,268,348,217.55

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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.