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Finding the Third Proportional to 9,523,950 and 19,991,324

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Solution

The third proportional to 9,523,950 and 19,991,324 is: 41,962,949.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523,950 : 19,991,324 = 19,991,324 : x
  2. Step 2: Convert to fraction form
    9,523,950/19,991,324 = 19,991,324/x
  3. Step 3: Cross multiply
    9,523,950x = 19,991,324 × 19,991,324
  4. Step 4: Simplify right side
    9,523,950x = 399,653,035,272,976
  5. Step 5: Solve for x
    x = 399,653,035,272,976/9,523,950
  6. Step 6: Final answer
    x = 41,962,949.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.