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Finding the Third Proportional to 12,317,616 and 29,674,296

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Solution

The third proportional to 12,317,616 and 29,674,296 is: 71,488,171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,317,616 : 29,674,296 = 29,674,296 : x
  2. Step 2: Convert to fraction form
    12,317,616/29,674,296 = 29,674,296/x
  3. Step 3: Cross multiply
    12,317,616x = 29,674,296 × 29,674,296
  4. Step 4: Simplify right side
    12,317,616x = 880,563,843,095,616
  5. Step 5: Solve for x
    x = 880,563,843,095,616/12,317,616
  6. Step 6: Final answer
    x = 71,488,171.34

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.