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Finding the Third Proportional to 10,241,519.84 and 21,943,851.59

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Solution

The third proportional to 10,241,519.84 and 21,943,851.59 is: 47,017,691.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241,519.84 : 21,943,851.59 = 21,943,851.59 : x
  2. Step 2: Convert to fraction form
    10,241,519.84/21,943,851.59 = 21,943,851.59/x
  3. Step 3: Cross multiply
    10,241,519.84x = 21,943,851.59 × 21,943,851.59
  4. Step 4: Simplify right side
    10,241,519.84x = 481,532,622,682,855.62
  5. Step 5: Solve for x
    x = 481,532,622,682,855.62/10,241,519.84
  6. Step 6: Final answer
    x = 47,017,691.71

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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.