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Finding the Third Proportional to 6,774,830 and 14,532,016

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Solution

The third proportional to 6,774,830 and 14,532,016 is: 31,171,186.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774,830 : 14,532,016 = 14,532,016 : x
  2. Step 2: Convert to fraction form
    6,774,830/14,532,016 = 14,532,016/x
  3. Step 3: Cross multiply
    6,774,830x = 14,532,016 × 14,532,016
  4. Step 4: Simplify right side
    6,774,830x = 211,179,489,024,256
  5. Step 5: Solve for x
    x = 211,179,489,024,256/6,774,830
  6. Step 6: Final answer
    x = 31,171,186.44

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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.