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Finding the Third Proportional to 412,186,238.25 and 888,940,726.50

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Solution

The third proportional to 412,186,238.25 and 888,940,726.50 is: 1,917,132,455.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,186,238.25 : 888,940,726.50 = 888,940,726.50 : x
  2. Step 2: Convert to fraction form
    412,186,238.25/888,940,726.50 = 888,940,726.50/x
  3. Step 3: Cross multiply
    412,186,238.25x = 888,940,726.50 × 888,940,726.50
  4. Step 4: Simplify right side
    412,186,238.25x = 790,215,615,230,347,776
  5. Step 5: Solve for x
    x = 790,215,615,230,347,776/412,186,238.25
  6. Step 6: Final answer
    x = 1,917,132,455.91

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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.