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Finding the Third Proportional to 9,646,296 and 21,235,662

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Solution

The third proportional to 9,646,296 and 21,235,662 is: 46,748,859.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646,296 : 21,235,662 = 21,235,662 : x
  2. Step 2: Convert to fraction form
    9,646,296/21,235,662 = 21,235,662/x
  3. Step 3: Cross multiply
    9,646,296x = 21,235,662 × 21,235,662
  4. Step 4: Simplify right side
    9,646,296x = 450,953,340,578,244
  5. Step 5: Solve for x
    x = 450,953,340,578,244/9,646,296
  6. Step 6: Final answer
    x = 46,748,859.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.