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Finding the Third Proportional to 9,243,234 and 19,947,912

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Solution

The third proportional to 9,243,234 and 19,947,912 is: 43,049,780.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243,234 : 19,947,912 = 19,947,912 : x
  2. Step 2: Convert to fraction form
    9,243,234/19,947,912 = 19,947,912/x
  3. Step 3: Cross multiply
    9,243,234x = 19,947,912 × 19,947,912
  4. Step 4: Simplify right side
    9,243,234x = 397,919,193,159,744
  5. Step 5: Solve for x
    x = 397,919,193,159,744/9,243,234
  6. Step 6: Final answer
    x = 43,049,780.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.