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Finding the Third Proportional to 38,655,838 and 83,364,314

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Solution

The third proportional to 38,655,838 and 83,364,314 is: 179,781,611.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,655,838 : 83,364,314 = 83,364,314 : x
  2. Step 2: Convert to fraction form
    38,655,838/83,364,314 = 83,364,314/x
  3. Step 3: Cross multiply
    38,655,838x = 83,364,314 × 83,364,314
  4. Step 4: Simplify right side
    38,655,838x = 6,949,608,848,690,596
  5. Step 5: Solve for x
    x = 6,949,608,848,690,596/38,655,838
  6. Step 6: Final answer
    x = 179,781,611.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.