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Finding the Third Proportional to 12,187,866,993.75 and 17,163,202,448.25

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Solution

The third proportional to 12,187,866,993.75 and 17,163,202,448.25 is: 24,169,571,134.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187,866,993.75 : 17,163,202,448.25 = 17,163,202,448.25 : x
  2. Step 2: Convert to fraction form
    12,187,866,993.75/17,163,202,448.25 = 17,163,202,448.25/x
  3. Step 3: Cross multiply
    12,187,866,993.75x = 17,163,202,448.25 × 17,163,202,448.25
  4. Step 4: Simplify right side
    12,187,866,993.75x = 294,575,518,279,614,791,680
  5. Step 5: Solve for x
    x = 294,575,518,279,614,791,680/12,187,866,993.75
  6. Step 6: Final answer
    x = 24,169,571,134.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.