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Finding the Third Proportional to 7,825,638.75 and 10,813,550.25

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Solution

The third proportional to 7,825,638.75 and 10,813,550.25 is: 14,942,277.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825,638.75 : 10,813,550.25 = 10,813,550.25 : x
  2. Step 2: Convert to fraction form
    7,825,638.75/10,813,550.25 = 10,813,550.25/x
  3. Step 3: Cross multiply
    7,825,638.75x = 10,813,550.25 × 10,813,550.25
  4. Step 4: Simplify right side
    7,825,638.75x = 116,932,869,009,275.06
  5. Step 5: Solve for x
    x = 116,932,869,009,275.06/7,825,638.75
  6. Step 6: Final answer
    x = 14,942,277.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.