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Finding the Third Proportional to 6,184,944 and 8,709,768

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Solution

The third proportional to 6,184,944 and 8,709,768 is: 12,265,278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184,944 : 8,709,768 = 8,709,768 : x
  2. Step 2: Convert to fraction form
    6,184,944/8,709,768 = 8,709,768/x
  3. Step 3: Cross multiply
    6,184,944x = 8,709,768 × 8,709,768
  4. Step 4: Simplify right side
    6,184,944x = 75,860,058,613,824
  5. Step 5: Solve for x
    x = 75,860,058,613,824/6,184,944
  6. Step 6: Final answer
    x = 12,265,278.17

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.