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Finding the Third Proportional to 2,513,857.50 and 5,426,115

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Solution

The third proportional to 2,513,857.50 and 5,426,115 is: 11,712,169.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513,857.50 : 5,426,115 = 5,426,115 : x
  2. Step 2: Convert to fraction form
    2,513,857.50/5,426,115 = 5,426,115/x
  3. Step 3: Cross multiply
    2,513,857.50x = 5,426,115 × 5,426,115
  4. Step 4: Simplify right side
    2,513,857.50x = 29,442,723,993,225
  5. Step 5: Solve for x
    x = 29,442,723,993,225/2,513,857.50
  6. Step 6: Final answer
    x = 11,712,169.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.