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Finding the Third Proportional to 13,350,864 and 27,409,491

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Solution

The third proportional to 13,350,864 and 27,409,491 is: 56,272,028.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,350,864 : 27,409,491 = 27,409,491 : x
  2. Step 2: Convert to fraction form
    13,350,864/27,409,491 = 27,409,491/x
  3. Step 3: Cross multiply
    13,350,864x = 27,409,491 × 27,409,491
  4. Step 4: Simplify right side
    13,350,864x = 751,280,196,879,081
  5. Step 5: Solve for x
    x = 751,280,196,879,081/13,350,864
  6. Step 6: Final answer
    x = 56,272,028.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.