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Finding the Third Proportional to 5,241,785 and 11,212,220

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Solution

The third proportional to 5,241,785 and 11,212,220 is: 23,983,028.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241,785 : 11,212,220 = 11,212,220 : x
  2. Step 2: Convert to fraction form
    5,241,785/11,212,220 = 11,212,220/x
  3. Step 3: Cross multiply
    5,241,785x = 11,212,220 × 11,212,220
  4. Step 4: Simplify right side
    5,241,785x = 125,713,877,328,400
  5. Step 5: Solve for x
    x = 125,713,877,328,400/5,241,785
  6. Step 6: Final answer
    x = 23,983,028.17

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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.