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Finding the Third Proportional to 4,175,022 and 6,464,548.31

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Solution

The third proportional to 4,175,022 and 6,464,548.31 is: 10,009,620.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175,022 : 6,464,548.31 = 6,464,548.31 : x
  2. Step 2: Convert to fraction form
    4,175,022/6,464,548.31 = 6,464,548.31/x
  3. Step 3: Cross multiply
    4,175,022x = 6,464,548.31 × 6,464,548.31
  4. Step 4: Simplify right side
    4,175,022x = 41,790,384,884,646.59
  5. Step 5: Solve for x
    x = 41,790,384,884,646.59/4,175,022
  6. Step 6: Final answer
    x = 10,009,620.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.