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Finding the Third Proportional to 32,420,873.95 and 69,475,249.13

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Solution

The third proportional to 32,420,873.95 and 69,475,249.13 is: 148,879,707.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,420,873.95 : 69,475,249.13 = 69,475,249.13 : x
  2. Step 2: Convert to fraction form
    32,420,873.95/69,475,249.13 = 69,475,249.13/x
  3. Step 3: Cross multiply
    32,420,873.95x = 69,475,249.13 × 69,475,249.13
  4. Step 4: Simplify right side
    32,420,873.95x = 4,826,810,240,980,813
  5. Step 5: Solve for x
    x = 4,826,810,240,980,813/32,420,873.95
  6. Step 6: Final answer
    x = 148,879,707.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.