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Finding the Third Proportional to 83,374,920 and 183,711,888

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Solution

The third proportional to 83,374,920 and 183,711,888 is: 404,798,682.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,374,920 : 183,711,888 = 183,711,888 : x
  2. Step 2: Convert to fraction form
    83,374,920/183,711,888 = 183,711,888/x
  3. Step 3: Cross multiply
    83,374,920x = 183,711,888 × 183,711,888
  4. Step 4: Simplify right side
    83,374,920x = 33,750,057,792,524,544
  5. Step 5: Solve for x
    x = 33,750,057,792,524,544/83,374,920
  6. Step 6: Final answer
    x = 404,798,682.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.