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Finding the Third Proportional to 13,420,934 and 20,521,396

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Solution

The third proportional to 13,420,934 and 20,521,396 is: 31,378,419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420,934 : 20,521,396 = 20,521,396 : x
  2. Step 2: Convert to fraction form
    13,420,934/20,521,396 = 20,521,396/x
  3. Step 3: Cross multiply
    13,420,934x = 20,521,396 × 20,521,396
  4. Step 4: Simplify right side
    13,420,934x = 421,127,693,788,816
  5. Step 5: Solve for x
    x = 421,127,693,788,816/13,420,934
  6. Step 6: Final answer
    x = 31,378,419.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.