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Finding the Third Proportional to 893,524,675 and 1,377,970,106

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Solution

The third proportional to 893,524,675 and 1,377,970,106 is: 2,125,069,028.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,524,675 : 1,377,970,106 = 1,377,970,106 : x
  2. Step 2: Convert to fraction form
    893,524,675/1,377,970,106 = 1,377,970,106/x
  3. Step 3: Cross multiply
    893,524,675x = 1,377,970,106 × 1,377,970,106
  4. Step 4: Simplify right side
    893,524,675x = 1,898,801,613,029,651,200
  5. Step 5: Solve for x
    x = 1,898,801,613,029,651,200/893,524,675
  6. Step 6: Final answer
    x = 2,125,069,028.49

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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.