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Finding the Third Proportional to 7,382,457 and 11,557,534.50

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Solution

The third proportional to 7,382,457 and 11,557,534.50 is: 18,093,786.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382,457 : 11,557,534.50 = 11,557,534.50 : x
  2. Step 2: Convert to fraction form
    7,382,457/11,557,534.50 = 11,557,534.50/x
  3. Step 3: Cross multiply
    7,382,457x = 11,557,534.50 × 11,557,534.50
  4. Step 4: Simplify right side
    7,382,457x = 133,576,603,718,690.25
  5. Step 5: Solve for x
    x = 133,576,603,718,690.25/7,382,457
  6. Step 6: Final answer
    x = 18,093,786.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.