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Finding the Third Proportional to 2,947,989 and 6,346,986

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Solution

The third proportional to 2,947,989 and 6,346,986 is: 13,664,986.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947,989 : 6,346,986 = 6,346,986 : x
  2. Step 2: Convert to fraction form
    2,947,989/6,346,986 = 6,346,986/x
  3. Step 3: Cross multiply
    2,947,989x = 6,346,986 × 6,346,986
  4. Step 4: Simplify right side
    2,947,989x = 40,284,231,284,196
  5. Step 5: Solve for x
    x = 40,284,231,284,196/2,947,989
  6. Step 6: Final answer
    x = 13,664,986.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.