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Finding the Third Proportional to 75,770,355 and 163,665,519

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Solution

The third proportional to 75,770,355 and 163,665,519 is: 353,520,873.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,770,355 : 163,665,519 = 163,665,519 : x
  2. Step 2: Convert to fraction form
    75,770,355/163,665,519 = 163,665,519/x
  3. Step 3: Cross multiply
    75,770,355x = 163,665,519 × 163,665,519
  4. Step 4: Simplify right side
    75,770,355x = 26,786,402,109,539,360
  5. Step 5: Solve for x
    x = 26,786,402,109,539,360/75,770,355
  6. Step 6: Final answer
    x = 353,520,873.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.