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Finding the Third Proportional to 5,371,920.75 and 8,330,203.13

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Solution

The third proportional to 5,371,920.75 and 8,330,203.13 is: 12,917,592.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,371,920.75 : 8,330,203.13 = 8,330,203.13 : x
  2. Step 2: Convert to fraction form
    5,371,920.75/8,330,203.13 = 8,330,203.13/x
  3. Step 3: Cross multiply
    5,371,920.75x = 8,330,203.13 × 8,330,203.13
  4. Step 4: Simplify right side
    5,371,920.75x = 69,392,284,103,759.77
  5. Step 5: Solve for x
    x = 69,392,284,103,759.77/5,371,920.75
  6. Step 6: Final answer
    x = 12,917,592.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.