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Finding the Third Proportional to 4,450,464 and 9,530,778

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Solution

The third proportional to 4,450,464 and 9,530,778 is: 20,410,395.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,450,464 : 9,530,778 = 9,530,778 : x
  2. Step 2: Convert to fraction form
    4,450,464/9,530,778 = 9,530,778/x
  3. Step 3: Cross multiply
    4,450,464x = 9,530,778 × 9,530,778
  4. Step 4: Simplify right side
    4,450,464x = 90,835,729,285,284
  5. Step 5: Solve for x
    x = 90,835,729,285,284/4,450,464
  6. Step 6: Final answer
    x = 20,410,395.25

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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.