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Finding the Third Proportional to 38,877,583.75 and 83,524,695.25

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Solution

The third proportional to 38,877,583.75 and 83,524,695.25 is: 179,444,657.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,877,583.75 : 83,524,695.25 = 83,524,695.25 : x
  2. Step 2: Convert to fraction form
    38,877,583.75/83,524,695.25 = 83,524,695.25/x
  3. Step 3: Cross multiply
    38,877,583.75x = 83,524,695.25 × 83,524,695.25
  4. Step 4: Simplify right side
    38,877,583.75x = 6,976,374,716,605,373
  5. Step 5: Solve for x
    x = 6,976,374,716,605,373/38,877,583.75
  6. Step 6: Final answer
    x = 179,444,657.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.