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Finding the Third Proportional to 7,229,129.50 and 9,637,765

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Solution

The third proportional to 7,229,129.50 and 9,637,765 is: 12,848,921.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229,129.50 : 9,637,765 = 9,637,765 : x
  2. Step 2: Convert to fraction form
    7,229,129.50/9,637,765 = 9,637,765/x
  3. Step 3: Cross multiply
    7,229,129.50x = 9,637,765 × 9,637,765
  4. Step 4: Simplify right side
    7,229,129.50x = 92,886,514,195,225
  5. Step 5: Solve for x
    x = 92,886,514,195,225/7,229,129.50
  6. Step 6: Final answer
    x = 12,848,921.05

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.