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Finding the Third Proportional to 4,704,833.81 and 7,192,477.13

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Solution

The third proportional to 4,704,833.81 and 7,192,477.13 is: 10,995,441.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704,833.81 : 7,192,477.13 = 7,192,477.13 : x
  2. Step 2: Convert to fraction form
    4,704,833.81/7,192,477.13 = 7,192,477.13/x
  3. Step 3: Cross multiply
    4,704,833.81x = 7,192,477.13 × 7,192,477.13
  4. Step 4: Simplify right side
    4,704,833.81x = 51,731,727,193,648.27
  5. Step 5: Solve for x
    x = 51,731,727,193,648.27/4,704,833.81
  6. Step 6: Final answer
    x = 10,995,441.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.