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Finding the Third Proportional to 4,450,457 and 9,530,764

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Solution

The third proportional to 4,450,457 and 9,530,764 is: 20,410,367.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,450,457 : 9,530,764 = 9,530,764 : x
  2. Step 2: Convert to fraction form
    4,450,457/9,530,764 = 9,530,764/x
  3. Step 3: Cross multiply
    4,450,457x = 9,530,764 × 9,530,764
  4. Step 4: Simplify right side
    4,450,457x = 90,835,462,423,696
  5. Step 5: Solve for x
    x = 90,835,462,423,696/4,450,457
  6. Step 6: Final answer
    x = 20,410,367.39

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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.