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Finding the Third Proportional to 34,115,718 and 48,785,879.25

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Solution

The third proportional to 34,115,718 and 48,785,879.25 is: 69,764,382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,115,718 : 48,785,879.25 = 48,785,879.25 : x
  2. Step 2: Convert to fraction form
    34,115,718/48,785,879.25 = 48,785,879.25/x
  3. Step 3: Cross multiply
    34,115,718x = 48,785,879.25 × 48,785,879.25
  4. Step 4: Simplify right side
    34,115,718x = 2,380,062,014,195,580.50
  5. Step 5: Solve for x
    x = 2,380,062,014,195,580.50/34,115,718
  6. Step 6: Final answer
    x = 69,764,382.92

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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.