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Finding the Third Proportional to 33,648,199 and 71,959,629

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Solution

The third proportional to 33,648,199 and 71,959,629 is: 153,891,987.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,648,199 : 71,959,629 = 71,959,629 : x
  2. Step 2: Convert to fraction form
    33,648,199/71,959,629 = 71,959,629/x
  3. Step 3: Cross multiply
    33,648,199x = 71,959,629 × 71,959,629
  4. Step 4: Simplify right side
    33,648,199x = 5,178,188,205,817,641
  5. Step 5: Solve for x
    x = 5,178,188,205,817,641/33,648,199
  6. Step 6: Final answer
    x = 153,891,987.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.