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Finding the Third Proportional to 37,322,013,742 and 82,251,442,440

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Solution

The third proportional to 37,322,013,742 and 82,251,442,440 is: 181,268,348,225.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,322,013,742 : 82,251,442,440 = 82,251,442,440 : x
  2. Step 2: Convert to fraction form
    37,322,013,742/82,251,442,440 = 82,251,442,440/x
  3. Step 3: Cross multiply
    37,322,013,742x = 82,251,442,440 × 82,251,442,440
  4. Step 4: Simplify right side
    37,322,013,742x = 6,765,299,783,460,632,657,920
  5. Step 5: Solve for x
    x = 6,765,299,783,460,632,657,920/37,322,013,742
  6. Step 6: Final answer
    x = 181,268,348,225.47

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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.