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Finding the Third Proportional to 893,524,679 and 1,377,970,112

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Solution

The third proportional to 893,524,679 and 1,377,970,112 is: 2,125,069,037.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,524,679 : 1,377,970,112 = 1,377,970,112 : x
  2. Step 2: Convert to fraction form
    893,524,679/1,377,970,112 = 1,377,970,112/x
  3. Step 3: Cross multiply
    893,524,679x = 1,377,970,112 × 1,377,970,112
  4. Step 4: Simplify right side
    893,524,679x = 1,898,801,629,565,292,544
  5. Step 5: Solve for x
    x = 1,898,801,629,565,292,544/893,524,679
  6. Step 6: Final answer
    x = 2,125,069,037.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.