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Finding the Third Proportional to 7,887,797.25 and 12,116,625.75

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Solution

The third proportional to 7,887,797.25 and 12,116,625.75 is: 18,612,625.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887,797.25 : 12,116,625.75 = 12,116,625.75 : x
  2. Step 2: Convert to fraction form
    7,887,797.25/12,116,625.75 = 12,116,625.75/x
  3. Step 3: Cross multiply
    7,887,797.25x = 12,116,625.75 × 12,116,625.75
  4. Step 4: Simplify right side
    7,887,797.25x = 146,812,619,565,563.06
  5. Step 5: Solve for x
    x = 146,812,619,565,563.06/7,887,797.25
  6. Step 6: Final answer
    x = 18,612,625.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.