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Finding the Third Proportional to 5,224,393.50 and 7,867,370.25

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Solution

The third proportional to 5,224,393.50 and 7,867,370.25 is: 11,847,406.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224,393.50 : 7,867,370.25 = 7,867,370.25 : x
  2. Step 2: Convert to fraction form
    5,224,393.50/7,867,370.25 = 7,867,370.25/x
  3. Step 3: Cross multiply
    5,224,393.50x = 7,867,370.25 × 7,867,370.25
  4. Step 4: Simplify right side
    5,224,393.50x = 61,895,514,650,585.06
  5. Step 5: Solve for x
    x = 61,895,514,650,585.06/5,224,393.50
  6. Step 6: Final answer
    x = 11,847,406.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.