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Finding the Third Proportional to 5,537,343.50 and 8,382,529.50

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Solution

The third proportional to 5,537,343.50 and 8,382,529.50 is: 12,689,622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537,343.50 : 8,382,529.50 = 8,382,529.50 : x
  2. Step 2: Convert to fraction form
    5,537,343.50/8,382,529.50 = 8,382,529.50/x
  3. Step 3: Cross multiply
    5,537,343.50x = 8,382,529.50 × 8,382,529.50
  4. Step 4: Simplify right side
    5,537,343.50x = 70,266,800,818,370.25
  5. Step 5: Solve for x
    x = 70,266,800,818,370.25/5,537,343.50
  6. Step 6: Final answer
    x = 12,689,622.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.