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Finding the Third Proportional to 3,215,078 and 6,934,942

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Solution

The third proportional to 3,215,078 and 6,934,942 is: 14,958,710.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215,078 : 6,934,942 = 6,934,942 : x
  2. Step 2: Convert to fraction form
    3,215,078/6,934,942 = 6,934,942/x
  3. Step 3: Cross multiply
    3,215,078x = 6,934,942 × 6,934,942
  4. Step 4: Simplify right side
    3,215,078x = 48,093,420,543,364
  5. Step 5: Solve for x
    x = 48,093,420,543,364/3,215,078
  6. Step 6: Final answer
    x = 14,958,710.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.