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Finding the Third Proportional to 3,065,712 and 6,449,016

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Solution

The third proportional to 3,065,712 and 6,449,016 is: 13,566,116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065,712 : 6,449,016 = 6,449,016 : x
  2. Step 2: Convert to fraction form
    3,065,712/6,449,016 = 6,449,016/x
  3. Step 3: Cross multiply
    3,065,712x = 6,449,016 × 6,449,016
  4. Step 4: Simplify right side
    3,065,712x = 41,589,807,368,256
  5. Step 5: Solve for x
    x = 41,589,807,368,256/3,065,712
  6. Step 6: Final answer
    x = 13,566,116.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.