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Finding the Third Proportional to 5,242,000.50 and 11,212,641

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Solution

The third proportional to 5,242,000.50 and 11,212,641 is: 23,983,843.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242,000.50 : 11,212,641 = 11,212,641 : x
  2. Step 2: Convert to fraction form
    5,242,000.50/11,212,641 = 11,212,641/x
  3. Step 3: Cross multiply
    5,242,000.50x = 11,212,641 × 11,212,641
  4. Step 4: Simplify right side
    5,242,000.50x = 125,723,318,194,881
  5. Step 5: Solve for x
    x = 125,723,318,194,881/5,242,000.50
  6. Step 6: Final answer
    x = 23,983,843.23

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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.