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Finding the Third Proportional to 2,311,056 and 5,153,188

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Solution

The third proportional to 2,311,056 and 5,153,188 is: 11,490,568.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311,056 : 5,153,188 = 5,153,188 : x
  2. Step 2: Convert to fraction form
    2,311,056/5,153,188 = 5,153,188/x
  3. Step 3: Cross multiply
    2,311,056x = 5,153,188 × 5,153,188
  4. Step 4: Simplify right side
    2,311,056x = 26,555,346,563,344
  5. Step 5: Solve for x
    x = 26,555,346,563,344/2,311,056
  6. Step 6: Final answer
    x = 11,490,568.19

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.