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Finding the Third Proportional to 6,172,742 and 8,326,722

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Solution

The third proportional to 6,172,742 and 8,326,722 is: 11,232,333.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172,742 : 8,326,722 = 8,326,722 : x
  2. Step 2: Convert to fraction form
    6,172,742/8,326,722 = 8,326,722/x
  3. Step 3: Cross multiply
    6,172,742x = 8,326,722 × 8,326,722
  4. Step 4: Simplify right side
    6,172,742x = 69,334,299,265,284
  5. Step 5: Solve for x
    x = 69,334,299,265,284/6,172,742
  6. Step 6: Final answer
    x = 11,232,333.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.