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Finding the Third Proportional to 12,560,864 and 19,922,352

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Solution

The third proportional to 12,560,864 and 19,922,352 is: 31,598,153.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,560,864 : 19,922,352 = 19,922,352 : x
  2. Step 2: Convert to fraction form
    12,560,864/19,922,352 = 19,922,352/x
  3. Step 3: Cross multiply
    12,560,864x = 19,922,352 × 19,922,352
  4. Step 4: Simplify right side
    12,560,864x = 396,900,109,211,904
  5. Step 5: Solve for x
    x = 396,900,109,211,904/12,560,864
  6. Step 6: Final answer
    x = 31,598,153.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.