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Finding the Third Proportional to 84,407,707 and 182,905,625

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Solution

The third proportional to 84,407,707 and 182,905,625 is: 396,343,756.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,407,707 : 182,905,625 = 182,905,625 : x
  2. Step 2: Convert to fraction form
    84,407,707/182,905,625 = 182,905,625/x
  3. Step 3: Cross multiply
    84,407,707x = 182,905,625 × 182,905,625
  4. Step 4: Simplify right side
    84,407,707x = 33,454,467,656,640,624
  5. Step 5: Solve for x
    x = 33,454,467,656,640,624/84,407,707
  6. Step 6: Final answer
    x = 396,343,756.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.