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Finding the Third Proportional to 6,934,624 and 9,203,946

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Solution

The third proportional to 6,934,624 and 9,203,946 is: 12,215,892.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934,624 : 9,203,946 = 9,203,946 : x
  2. Step 2: Convert to fraction form
    6,934,624/9,203,946 = 9,203,946/x
  3. Step 3: Cross multiply
    6,934,624x = 9,203,946 × 9,203,946
  4. Step 4: Simplify right side
    6,934,624x = 84,712,621,970,916
  5. Step 5: Solve for x
    x = 84,712,621,970,916/6,934,624
  6. Step 6: Final answer
    x = 12,215,892.60

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.