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Finding the Third Proportional to 412,186,384 and 888,941,016

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Solution

The third proportional to 412,186,384 and 888,941,016 is: 1,917,133,026.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,186,384 : 888,941,016 = 888,941,016 : x
  2. Step 2: Convert to fraction form
    412,186,384/888,941,016 = 888,941,016/x
  3. Step 3: Cross multiply
    412,186,384x = 888,941,016 × 888,941,016
  4. Step 4: Simplify right side
    412,186,384x = 790,216,129,927,112,192
  5. Step 5: Solve for x
    x = 790,216,129,927,112,192/412,186,384
  6. Step 6: Final answer
    x = 1,917,133,026.71

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