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Finding the Third Proportional to 5,458,178.25 and 8,191,264.22

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Solution

The third proportional to 5,458,178.25 and 8,191,264.22 is: 12,292,894.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458,178.25 : 8,191,264.22 = 8,191,264.22 : x
  2. Step 2: Convert to fraction form
    5,458,178.25/8,191,264.22 = 8,191,264.22/x
  3. Step 3: Cross multiply
    5,458,178.25x = 8,191,264.22 × 8,191,264.22
  4. Step 4: Simplify right side
    5,458,178.25x = 67,096,809,501,374.05
  5. Step 5: Solve for x
    x = 67,096,809,501,374.05/5,458,178.25
  6. Step 6: Final answer
    x = 12,292,894.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.