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Finding the Third Proportional to 6,091,824 and 9,138,951

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Solution

The third proportional to 6,091,824 and 9,138,951 is: 13,710,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091,824 : 9,138,951 = 9,138,951 : x
  2. Step 2: Convert to fraction form
    6,091,824/9,138,951 = 9,138,951/x
  3. Step 3: Cross multiply
    6,091,824x = 9,138,951 × 9,138,951
  4. Step 4: Simplify right side
    6,091,824x = 83,520,425,380,401
  5. Step 5: Solve for x
    x = 83,520,425,380,401/6,091,824
  6. Step 6: Final answer
    x = 13,710,249.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.