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Finding the Third Proportional to 10,048,141.13 and 21,797,631.56

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Solution

The third proportional to 10,048,141.13 and 21,797,631.56 is: 47,286,033.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048,141.13 : 21,797,631.56 = 21,797,631.56 : x
  2. Step 2: Convert to fraction form
    10,048,141.13/21,797,631.56 = 21,797,631.56/x
  3. Step 3: Cross multiply
    10,048,141.13x = 21,797,631.56 × 21,797,631.56
  4. Step 4: Simplify right side
    10,048,141.13x = 475,136,741,734,496.19
  5. Step 5: Solve for x
    x = 475,136,741,734,496.19/10,048,141.13
  6. Step 6: Final answer
    x = 47,286,033.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.