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Finding the Third Proportional to 412,186,378 and 888,941,013

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Solution

The third proportional to 412,186,378 and 888,941,013 is: 1,917,133,041.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,186,378 : 888,941,013 = 888,941,013 : x
  2. Step 2: Convert to fraction form
    412,186,378/888,941,013 = 888,941,013/x
  3. Step 3: Cross multiply
    412,186,378x = 888,941,013 × 888,941,013
  4. Step 4: Simplify right side
    412,186,378x = 790,216,124,593,466,112
  5. Step 5: Solve for x
    x = 790,216,124,593,466,112/412,186,378
  6. Step 6: Final answer
    x = 1,917,133,041.68

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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.