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Finding the Third Proportional to 12,699,817.88 and 27,866,025

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Solution

The third proportional to 12,699,817.88 and 27,866,025 is: 61,143,817.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,699,817.88 : 27,866,025 = 27,866,025 : x
  2. Step 2: Convert to fraction form
    12,699,817.88/27,866,025 = 27,866,025/x
  3. Step 3: Cross multiply
    12,699,817.88x = 27,866,025 × 27,866,025
  4. Step 4: Simplify right side
    12,699,817.88x = 776,515,349,300,625
  5. Step 5: Solve for x
    x = 776,515,349,300,625/12,699,817.88
  6. Step 6: Final answer
    x = 61,143,817.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.