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Finding the Third Proportional to 412,367,282,036 and 887,757,121,317

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Solution

The third proportional to 412,367,282,036 and 887,757,121,317 is: 1,911,191,165,695.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,367,282,036 : 887,757,121,317 = 887,757,121,317 : x
  2. Step 2: Convert to fraction form
    412,367,282,036/887,757,121,317 = 887,757,121,317/x
  3. Step 3: Cross multiply
    412,367,282,036x = 887,757,121,317 × 887,757,121,317
  4. Step 4: Simplify right side
    412,367,282,036x = 788,112,706,449,046,687,973,376
  5. Step 5: Solve for x
    x = 788,112,706,449,046,687,973,376/412,367,282,036
  6. Step 6: Final answer
    x = 1,911,191,165,695.45

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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.