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Finding the Third Proportional to 3,973,470.19 and 8,581,944.94

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Solution

The third proportional to 3,973,470.19 and 8,581,944.94 is: 18,535,379.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973,470.19 : 8,581,944.94 = 8,581,944.94 : x
  2. Step 2: Convert to fraction form
    3,973,470.19/8,581,944.94 = 8,581,944.94/x
  3. Step 3: Cross multiply
    3,973,470.19x = 8,581,944.94 × 8,581,944.94
  4. Step 4: Simplify right side
    3,973,470.19x = 73,649,778,910,281.88
  5. Step 5: Solve for x
    x = 73,649,778,910,281.88/3,973,470.19
  6. Step 6: Final answer
    x = 18,535,379.77

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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.