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Finding the Third Proportional to 4,493,773.69 and 9,704,574.56

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Solution

The third proportional to 4,493,773.69 and 9,704,574.56 is: 20,957,612.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493,773.69 : 9,704,574.56 = 9,704,574.56 : x
  2. Step 2: Convert to fraction form
    4,493,773.69/9,704,574.56 = 9,704,574.56/x
  3. Step 3: Cross multiply
    4,493,773.69x = 9,704,574.56 × 9,704,574.56
  4. Step 4: Simplify right side
    4,493,773.69x = 94,178,767,439,122.06
  5. Step 5: Solve for x
    x = 94,178,767,439,122.06/4,493,773.69
  6. Step 6: Final answer
    x = 20,957,612.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.