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Finding the Third Proportional to 33,552,684 and 73,385,424

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Solution

The third proportional to 33,552,684 and 73,385,424 is: 160,506,398.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,552,684 : 73,385,424 = 73,385,424 : x
  2. Step 2: Convert to fraction form
    33,552,684/73,385,424 = 73,385,424/x
  3. Step 3: Cross multiply
    33,552,684x = 73,385,424 × 73,385,424
  4. Step 4: Simplify right side
    33,552,684x = 5,385,420,455,659,776
  5. Step 5: Solve for x
    x = 5,385,420,455,659,776/33,552,684
  6. Step 6: Final answer
    x = 160,506,398.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.