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Finding the Third Proportional to 6,771,069 and 14,646,543

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Solution

The third proportional to 6,771,069 and 14,646,543 is: 31,682,031.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771,069 : 14,646,543 = 14,646,543 : x
  2. Step 2: Convert to fraction form
    6,771,069/14,646,543 = 14,646,543/x
  3. Step 3: Cross multiply
    6,771,069x = 14,646,543 × 14,646,543
  4. Step 4: Simplify right side
    6,771,069x = 214,521,221,850,849
  5. Step 5: Solve for x
    x = 214,521,221,850,849/6,771,069
  6. Step 6: Final answer
    x = 31,682,031.57

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