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Finding the Third Proportional to 5,646,127.50 and 12,020,166

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Solution

The third proportional to 5,646,127.50 and 12,020,166 is: 25,589,997.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646,127.50 : 12,020,166 = 12,020,166 : x
  2. Step 2: Convert to fraction form
    5,646,127.50/12,020,166 = 12,020,166/x
  3. Step 3: Cross multiply
    5,646,127.50x = 12,020,166 × 12,020,166
  4. Step 4: Simplify right side
    5,646,127.50x = 144,484,390,667,556
  5. Step 5: Solve for x
    x = 144,484,390,667,556/5,646,127.50
  6. Step 6: Final answer
    x = 25,589,997.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.