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Finding the Third Proportional to 4,169,989 and 9,014,519

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Solution

The third proportional to 4,169,989 and 9,014,519 is: 19,487,234.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169,989 : 9,014,519 = 9,014,519 : x
  2. Step 2: Convert to fraction form
    4,169,989/9,014,519 = 9,014,519/x
  3. Step 3: Cross multiply
    4,169,989x = 9,014,519 × 9,014,519
  4. Step 4: Simplify right side
    4,169,989x = 81,261,552,801,361
  5. Step 5: Solve for x
    x = 81,261,552,801,361/4,169,989
  6. Step 6: Final answer
    x = 19,487,234.33

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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.