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Finding the Third Proportional to 6,934,960 and 9,201,950

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Solution

The third proportional to 6,934,960 and 9,201,950 is: 12,210,003.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934,960 : 9,201,950 = 9,201,950 : x
  2. Step 2: Convert to fraction form
    6,934,960/9,201,950 = 9,201,950/x
  3. Step 3: Cross multiply
    6,934,960x = 9,201,950 × 9,201,950
  4. Step 4: Simplify right side
    6,934,960x = 84,675,883,802,500
  5. Step 5: Solve for x
    x = 84,675,883,802,500/6,934,960
  6. Step 6: Final answer
    x = 12,210,003.20

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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.