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Finding the Third Proportional to 11,211,840 and 17,314,632

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Solution

The third proportional to 11,211,840 and 17,314,632 is: 26,739,275.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211,840 : 17,314,632 = 17,314,632 : x
  2. Step 2: Convert to fraction form
    11,211,840/17,314,632 = 17,314,632/x
  3. Step 3: Cross multiply
    11,211,840x = 17,314,632 × 17,314,632
  4. Step 4: Simplify right side
    11,211,840x = 299,796,481,295,424
  5. Step 5: Solve for x
    x = 299,796,481,295,424/11,211,840
  6. Step 6: Final answer
    x = 26,739,275.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.