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Finding the Third Proportional to 5,241,677 and 11,212,033

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Solution

The third proportional to 5,241,677 and 11,212,033 is: 23,982,722.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241,677 : 11,212,033 = 11,212,033 : x
  2. Step 2: Convert to fraction form
    5,241,677/11,212,033 = 11,212,033/x
  3. Step 3: Cross multiply
    5,241,677x = 11,212,033 × 11,212,033
  4. Step 4: Simplify right side
    5,241,677x = 125,709,683,993,089
  5. Step 5: Solve for x
    x = 125,709,683,993,089/5,241,677
  6. Step 6: Final answer
    x = 23,982,722.32

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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.