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Finding the Third Proportional to 5,135,866 and 12,145,752

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Solution

The third proportional to 5,135,866 and 12,145,752 is: 28,723,352.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135,866 : 12,145,752 = 12,145,752 : x
  2. Step 2: Convert to fraction form
    5,135,866/12,145,752 = 12,145,752/x
  3. Step 3: Cross multiply
    5,135,866x = 12,145,752 × 12,145,752
  4. Step 4: Simplify right side
    5,135,866x = 147,519,291,645,504
  5. Step 5: Solve for x
    x = 147,519,291,645,504/5,135,866
  6. Step 6: Final answer
    x = 28,723,352.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.