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Finding the Third Proportional to 6,771,069 and 14,646,542.25

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Solution

The third proportional to 6,771,069 and 14,646,542.25 is: 31,682,028.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771,069 : 14,646,542.25 = 14,646,542.25 : x
  2. Step 2: Convert to fraction form
    6,771,069/14,646,542.25 = 14,646,542.25/x
  3. Step 3: Cross multiply
    6,771,069x = 14,646,542.25 × 14,646,542.25
  4. Step 4: Simplify right side
    6,771,069x = 214,521,199,881,035.06
  5. Step 5: Solve for x
    x = 214,521,199,881,035.06/6,771,069
  6. Step 6: Final answer
    x = 31,682,028.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.