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Finding the Third Proportional to 6,827,679 and 14,629,231.13

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Solution

The third proportional to 6,827,679 and 14,629,231.13 is: 31,345,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827,679 : 14,629,231.13 = 14,629,231.13 : x
  2. Step 2: Convert to fraction form
    6,827,679/14,629,231.13 = 14,629,231.13/x
  3. Step 3: Cross multiply
    6,827,679x = 14,629,231.13 × 14,629,231.13
  4. Step 4: Simplify right side
    6,827,679x = 214,014,403,308,668.75
  5. Step 5: Solve for x
    x = 214,014,403,308,668.75/6,827,679
  6. Step 6: Final answer
    x = 31,345,117.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.