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Finding the Third Proportional to 5,395,942 and 11,561,106

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Solution

The third proportional to 5,395,942 and 11,561,106 is: 24,770,312.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,395,942 : 11,561,106 = 11,561,106 : x
  2. Step 2: Convert to fraction form
    5,395,942/11,561,106 = 11,561,106/x
  3. Step 3: Cross multiply
    5,395,942x = 11,561,106 × 11,561,106
  4. Step 4: Simplify right side
    5,395,942x = 133,659,171,943,236
  5. Step 5: Solve for x
    x = 133,659,171,943,236/5,395,942
  6. Step 6: Final answer
    x = 24,770,312.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.