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Finding the Third Proportional to 10,409,920 and 22,557,278

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Solution

The third proportional to 10,409,920 and 22,557,278 is: 48,879,414.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409,920 : 22,557,278 = 22,557,278 : x
  2. Step 2: Convert to fraction form
    10,409,920/22,557,278 = 22,557,278/x
  3. Step 3: Cross multiply
    10,409,920x = 22,557,278 × 22,557,278
  4. Step 4: Simplify right side
    10,409,920x = 508,830,790,769,284
  5. Step 5: Solve for x
    x = 508,830,790,769,284/10,409,920
  6. Step 6: Final answer
    x = 48,879,414.13

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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.