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Finding the Third Proportional to 13,726,938 and 29,844,276

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Solution

The third proportional to 13,726,938 and 29,844,276 is: 64,885,614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726,938 : 29,844,276 = 29,844,276 : x
  2. Step 2: Convert to fraction form
    13,726,938/29,844,276 = 29,844,276/x
  3. Step 3: Cross multiply
    13,726,938x = 29,844,276 × 29,844,276
  4. Step 4: Simplify right side
    13,726,938x = 890,680,809,964,176
  5. Step 5: Solve for x
    x = 890,680,809,964,176/13,726,938
  6. Step 6: Final answer
    x = 64,885,614.69

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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.