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Finding the Third Proportional to 5,386,596.50 and 8,135,754

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Solution

The third proportional to 5,386,596.50 and 8,135,754 is: 12,287,999.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386,596.50 : 8,135,754 = 8,135,754 : x
  2. Step 2: Convert to fraction form
    5,386,596.50/8,135,754 = 8,135,754/x
  3. Step 3: Cross multiply
    5,386,596.50x = 8,135,754 × 8,135,754
  4. Step 4: Simplify right side
    5,386,596.50x = 66,190,493,148,516
  5. Step 5: Solve for x
    x = 66,190,493,148,516/5,386,596.50
  6. Step 6: Final answer
    x = 12,287,999.14

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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.