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Finding the Third Proportional to 4,646,969 and 10,065,949

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Solution

The third proportional to 4,646,969 and 10,065,949 is: 21,804,175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646,969 : 10,065,949 = 10,065,949 : x
  2. Step 2: Convert to fraction form
    4,646,969/10,065,949 = 10,065,949/x
  3. Step 3: Cross multiply
    4,646,969x = 10,065,949 × 10,065,949
  4. Step 4: Simplify right side
    4,646,969x = 101,323,329,270,601
  5. Step 5: Solve for x
    x = 101,323,329,270,601/4,646,969
  6. Step 6: Final answer
    x = 21,804,175.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.