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Finding the Third Proportional to 4,775,764 and 10,321,352

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Solution

The third proportional to 4,775,764 and 10,321,352 is: 22,306,442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775,764 : 10,321,352 = 10,321,352 : x
  2. Step 2: Convert to fraction form
    4,775,764/10,321,352 = 10,321,352/x
  3. Step 3: Cross multiply
    4,775,764x = 10,321,352 × 10,321,352
  4. Step 4: Simplify right side
    4,775,764x = 106,530,307,107,904
  5. Step 5: Solve for x
    x = 106,530,307,107,904/4,775,764
  6. Step 6: Final answer
    x = 22,306,442.93

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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.