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Finding the Third Proportional to 2,735,302.50 and 5,952,227.63

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Solution

The third proportional to 2,735,302.50 and 5,952,227.63 is: 12,952,502.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735,302.50 : 5,952,227.63 = 5,952,227.63 : x
  2. Step 2: Convert to fraction form
    2,735,302.50/5,952,227.63 = 5,952,227.63/x
  3. Step 3: Cross multiply
    2,735,302.50x = 5,952,227.63 × 5,952,227.63
  4. Step 4: Simplify right side
    2,735,302.50x = 35,429,013,699,813.14
  5. Step 5: Solve for x
    x = 35,429,013,699,813.14/2,735,302.50
  6. Step 6: Final answer
    x = 12,952,502.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.