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Finding the Third Proportional to 33,996,340.13 and 72,843,463.13

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Solution

The third proportional to 33,996,340.13 and 72,843,463.13 is: 156,080,628.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,996,340.13 : 72,843,463.13 = 72,843,463.13 : x
  2. Step 2: Convert to fraction form
    33,996,340.13/72,843,463.13 = 72,843,463.13/x
  3. Step 3: Cross multiply
    33,996,340.13x = 72,843,463.13 × 72,843,463.13
  4. Step 4: Simplify right side
    33,996,340.13x = 5,306,170,120,043,235
  5. Step 5: Solve for x
    x = 5,306,170,120,043,235/33,996,340.13
  6. Step 6: Final answer
    x = 156,080,628.11

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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.