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Finding the Third Proportional to 1,105,850,151 and 2,375,811,648

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Solution

The third proportional to 1,105,850,151 and 2,375,811,648 is: 5,104,200,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105,850,151 : 2,375,811,648 = 2,375,811,648 : x
  2. Step 2: Convert to fraction form
    1,105,850,151/2,375,811,648 = 2,375,811,648/x
  3. Step 3: Cross multiply
    1,105,850,151x = 2,375,811,648 × 2,375,811,648
  4. Step 4: Simplify right side
    1,105,850,151x = 5,644,480,986,772,475,904
  5. Step 5: Solve for x
    x = 5,644,480,986,772,475,904/1,105,850,151
  6. Step 6: Final answer
    x = 5,104,200,584.20

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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.