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Finding the Third Proportional to 2,727,869.50 and 5,743,289

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Solution

The third proportional to 2,727,869.50 and 5,743,289 is: 12,091,989.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727,869.50 : 5,743,289 = 5,743,289 : x
  2. Step 2: Convert to fraction form
    2,727,869.50/5,743,289 = 5,743,289/x
  3. Step 3: Cross multiply
    2,727,869.50x = 5,743,289 × 5,743,289
  4. Step 4: Simplify right side
    2,727,869.50x = 32,985,368,537,521
  5. Step 5: Solve for x
    x = 32,985,368,537,521/2,727,869.50
  6. Step 6: Final answer
    x = 12,091,989.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.