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Finding the Third Proportional to 4,038,303.94 and 8,644,249.13

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Solution

The third proportional to 4,038,303.94 and 8,644,249.13 is: 18,503,570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,038,303.94 : 8,644,249.13 = 8,644,249.13 : x
  2. Step 2: Convert to fraction form
    4,038,303.94/8,644,249.13 = 8,644,249.13/x
  3. Step 3: Cross multiply
    4,038,303.94x = 8,644,249.13 × 8,644,249.13
  4. Step 4: Simplify right side
    4,038,303.94x = 74,723,042,935,063.27
  5. Step 5: Solve for x
    x = 74,723,042,935,063.27/4,038,303.94
  6. Step 6: Final answer
    x = 18,503,570.83

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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.