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Finding the Third Proportional to 893,524,673 and 1,377,970,103

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Solution

The third proportional to 893,524,673 and 1,377,970,103 is: 2,125,069,023.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,524,673 : 1,377,970,103 = 1,377,970,103 : x
  2. Step 2: Convert to fraction form
    893,524,673/1,377,970,103 = 1,377,970,103/x
  3. Step 3: Cross multiply
    893,524,673x = 1,377,970,103 × 1,377,970,103
  4. Step 4: Simplify right side
    893,524,673x = 1,898,801,604,761,830,656
  5. Step 5: Solve for x
    x = 1,898,801,604,761,830,656/893,524,673
  6. Step 6: Final answer
    x = 2,125,069,023.99

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