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Finding the Third Proportional to 4,477,123.13 and 9,593,002.13

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Solution

The third proportional to 4,477,123.13 and 9,593,002.13 is: 20,554,647.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477,123.13 : 9,593,002.13 = 9,593,002.13 : x
  2. Step 2: Convert to fraction form
    4,477,123.13/9,593,002.13 = 9,593,002.13/x
  3. Step 3: Cross multiply
    4,477,123.13x = 9,593,002.13 × 9,593,002.13
  4. Step 4: Simplify right side
    4,477,123.13x = 92,025,689,770,254.52
  5. Step 5: Solve for x
    x = 92,025,689,770,254.52/4,477,123.13
  6. Step 6: Final answer
    x = 20,554,647.97

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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.