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Finding the Third Proportional to 6,213,678 and 8,395,065

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Solution

The third proportional to 6,213,678 and 8,395,065 is: 11,342,254.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213,678 : 8,395,065 = 8,395,065 : x
  2. Step 2: Convert to fraction form
    6,213,678/8,395,065 = 8,395,065/x
  3. Step 3: Cross multiply
    6,213,678x = 8,395,065 × 8,395,065
  4. Step 4: Simplify right side
    6,213,678x = 70,477,116,354,225
  5. Step 5: Solve for x
    x = 70,477,116,354,225/6,213,678
  6. Step 6: Final answer
    x = 11,342,254.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.