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Finding the Third Proportional to 4,205,992 and 9,051,664

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Solution

The third proportional to 4,205,992 and 9,051,664 is: 19,479,975.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205,992 : 9,051,664 = 9,051,664 : x
  2. Step 2: Convert to fraction form
    4,205,992/9,051,664 = 9,051,664/x
  3. Step 3: Cross multiply
    4,205,992x = 9,051,664 × 9,051,664
  4. Step 4: Simplify right side
    4,205,992x = 81,932,621,168,896
  5. Step 5: Solve for x
    x = 81,932,621,168,896/4,205,992
  6. Step 6: Final answer
    x = 19,479,975.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.