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Finding the Third Proportional to 21,024,864 and 23,236,704

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Solution

The third proportional to 21,024,864 and 23,236,704 is: 25,681,232.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,024,864 : 23,236,704 = 23,236,704 : x
  2. Step 2: Convert to fraction form
    21,024,864/23,236,704 = 23,236,704/x
  3. Step 3: Cross multiply
    21,024,864x = 23,236,704 × 23,236,704
  4. Step 4: Simplify right side
    21,024,864x = 539,944,412,783,616
  5. Step 5: Solve for x
    x = 539,944,412,783,616/21,024,864
  6. Step 6: Final answer
    x = 25,681,232.13

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.