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Finding the Third Proportional to 11,413,674 and 25,288,290

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Solution

The third proportional to 11,413,674 and 25,288,290 is: 56,029,076.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413,674 : 25,288,290 = 25,288,290 : x
  2. Step 2: Convert to fraction form
    11,413,674/25,288,290 = 25,288,290/x
  3. Step 3: Cross multiply
    11,413,674x = 25,288,290 × 25,288,290
  4. Step 4: Simplify right side
    11,413,674x = 639,497,611,124,100
  5. Step 5: Solve for x
    x = 639,497,611,124,100/11,413,674
  6. Step 6: Final answer
    x = 56,029,076.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.