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Finding the Third Proportional to 14,949,144 and 23,086,214

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Solution

The third proportional to 14,949,144 and 23,086,214 is: 35,652,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,949,144 : 23,086,214 = 23,086,214 : x
  2. Step 2: Convert to fraction form
    14,949,144/23,086,214 = 23,086,214/x
  3. Step 3: Cross multiply
    14,949,144x = 23,086,214 × 23,086,214
  4. Step 4: Simplify right side
    14,949,144x = 532,973,276,853,796
  5. Step 5: Solve for x
    x = 532,973,276,853,796/14,949,144
  6. Step 6: Final answer
    x = 35,652,427.78

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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.