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Finding the Third Proportional to 2,646,306.50 and 5,740,705

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Solution

The third proportional to 2,646,306.50 and 5,740,705 is: 12,453,468.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646,306.50 : 5,740,705 = 5,740,705 : x
  2. Step 2: Convert to fraction form
    2,646,306.50/5,740,705 = 5,740,705/x
  3. Step 3: Cross multiply
    2,646,306.50x = 5,740,705 × 5,740,705
  4. Step 4: Simplify right side
    2,646,306.50x = 32,955,693,897,025
  5. Step 5: Solve for x
    x = 32,955,693,897,025/2,646,306.50
  6. Step 6: Final answer
    x = 12,453,468.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.