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Finding the Third Proportional to 6,184,946 and 8,709,771

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Solution

The third proportional to 6,184,946 and 8,709,771 is: 12,265,282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184,946 : 8,709,771 = 8,709,771 : x
  2. Step 2: Convert to fraction form
    6,184,946/8,709,771 = 8,709,771/x
  3. Step 3: Cross multiply
    6,184,946x = 8,709,771 × 8,709,771
  4. Step 4: Simplify right side
    6,184,946x = 75,860,110,872,441
  5. Step 5: Solve for x
    x = 75,860,110,872,441/6,184,946
  6. Step 6: Final answer
    x = 12,265,282.65

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Why These Related Problems?

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