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Finding the Third Proportional to 5,152,434.75 and 6,997,509

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Solution

The third proportional to 5,152,434.75 and 6,997,509 is: 9,503,299.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152,434.75 : 6,997,509 = 6,997,509 : x
  2. Step 2: Convert to fraction form
    5,152,434.75/6,997,509 = 6,997,509/x
  3. Step 3: Cross multiply
    5,152,434.75x = 6,997,509 × 6,997,509
  4. Step 4: Simplify right side
    5,152,434.75x = 48,965,132,205,081
  5. Step 5: Solve for x
    x = 48,965,132,205,081/5,152,434.75
  6. Step 6: Final answer
    x = 9,503,299.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.