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Finding the Third Proportional to 33,648,194.81 and 71,959,620.38

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Solution

The third proportional to 33,648,194.81 and 71,959,620.38 is: 153,891,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,648,194.81 : 71,959,620.38 = 71,959,620.38 : x
  2. Step 2: Convert to fraction form
    33,648,194.81/71,959,620.38 = 71,959,620.38/x
  3. Step 3: Cross multiply
    33,648,194.81x = 71,959,620.38 × 71,959,620.38
  4. Step 4: Simplify right side
    33,648,194.81x = 5,178,186,964,514,115
  5. Step 5: Solve for x
    x = 5,178,186,964,514,115/33,648,194.81
  6. Step 6: Final answer
    x = 153,891,969.34

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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.