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Finding the Third Proportional to 893,524,677 and 1,377,970,109

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Solution

The third proportional to 893,524,677 and 1,377,970,109 is: 2,125,069,032.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,524,677 : 1,377,970,109 = 1,377,970,109 : x
  2. Step 2: Convert to fraction form
    893,524,677/1,377,970,109 = 1,377,970,109/x
  3. Step 3: Cross multiply
    893,524,677x = 1,377,970,109 × 1,377,970,109
  4. Step 4: Simplify right side
    893,524,677x = 1,898,801,621,297,472,000
  5. Step 5: Solve for x
    x = 1,898,801,621,297,472,000/893,524,677
  6. Step 6: Final answer
    x = 2,125,069,032.98

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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.