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Finding the Third Proportional to 5,357,077.50 and 8,083,920

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Solution

The third proportional to 5,357,077.50 and 8,083,920 is: 12,198,771.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357,077.50 : 8,083,920 = 8,083,920 : x
  2. Step 2: Convert to fraction form
    5,357,077.50/8,083,920 = 8,083,920/x
  3. Step 3: Cross multiply
    5,357,077.50x = 8,083,920 × 8,083,920
  4. Step 4: Simplify right side
    5,357,077.50x = 65,349,762,566,400
  5. Step 5: Solve for x
    x = 65,349,762,566,400/5,357,077.50
  6. Step 6: Final answer
    x = 12,198,771.17

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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.