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Finding the Third Proportional to 412,367,282,035 and 887,757,121,315

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Solution

The third proportional to 412,367,282,035 and 887,757,121,315 is: 1,911,191,165,691.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,367,282,035 : 887,757,121,315 = 887,757,121,315 : x
  2. Step 2: Convert to fraction form
    412,367,282,035/887,757,121,315 = 887,757,121,315/x
  3. Step 3: Cross multiply
    412,367,282,035x = 887,757,121,315 × 887,757,121,315
  4. Step 4: Simplify right side
    412,367,282,035x = 788,112,706,445,495,689,543,680
  5. Step 5: Solve for x
    x = 788,112,706,445,495,689,543,680/412,367,282,035
  6. Step 6: Final answer
    x = 1,911,191,165,691.47

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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.