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Finding the Third Proportional to 7,584,759 and 11,093,284.13

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Solution

The third proportional to 7,584,759 and 11,093,284.13 is: 16,224,767.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584,759 : 11,093,284.13 = 11,093,284.13 : x
  2. Step 2: Convert to fraction form
    7,584,759/11,093,284.13 = 11,093,284.13/x
  3. Step 3: Cross multiply
    7,584,759x = 11,093,284.13 × 11,093,284.13
  4. Step 4: Simplify right side
    7,584,759x = 123,060,952,677,977.02
  5. Step 5: Solve for x
    x = 123,060,952,677,977.02/7,584,759
  6. Step 6: Final answer
    x = 16,224,767.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.