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Finding the Third Proportional to 34,115,719 and 48,785,880

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Solution

The third proportional to 34,115,719 and 48,785,880 is: 69,764,383.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,115,719 : 48,785,880 = 48,785,880 : x
  2. Step 2: Convert to fraction form
    34,115,719/48,785,880 = 48,785,880/x
  3. Step 3: Cross multiply
    34,115,719x = 48,785,880 × 48,785,880
  4. Step 4: Simplify right side
    34,115,719x = 2,380,062,087,374,400
  5. Step 5: Solve for x
    x = 2,380,062,087,374,400/34,115,719
  6. Step 6: Final answer
    x = 69,764,383.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.