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Finding the Third Proportional to 412,186,470 and 888,941,196

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Solution

The third proportional to 412,186,470 and 888,941,196 is: 1,917,133,403.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,186,470 : 888,941,196 = 888,941,196 : x
  2. Step 2: Convert to fraction form
    412,186,470/888,941,196 = 888,941,196/x
  3. Step 3: Cross multiply
    412,186,470x = 888,941,196 × 888,941,196
  4. Step 4: Simplify right side
    412,186,470x = 790,216,449,945,910,400
  5. Step 5: Solve for x
    x = 790,216,449,945,910,400/412,186,470
  6. Step 6: Final answer
    x = 1,917,133,403.11

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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.