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Finding the Third Proportional to 4,221,641.25 and 8,233,290

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Solution

The third proportional to 4,221,641.25 and 8,233,290 is: 16,057,040.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221,641.25 : 8,233,290 = 8,233,290 : x
  2. Step 2: Convert to fraction form
    4,221,641.25/8,233,290 = 8,233,290/x
  3. Step 3: Cross multiply
    4,221,641.25x = 8,233,290 × 8,233,290
  4. Step 4: Simplify right side
    4,221,641.25x = 67,787,064,224,100
  5. Step 5: Solve for x
    x = 67,787,064,224,100/4,221,641.25
  6. Step 6: Final answer
    x = 16,057,040.43

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.