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Finding the Third Proportional to 10,436,064 and 14,420,296

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Solution

The third proportional to 10,436,064 and 14,420,296 is: 19,925,609.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436,064 : 14,420,296 = 14,420,296 : x
  2. Step 2: Convert to fraction form
    10,436,064/14,420,296 = 14,420,296/x
  3. Step 3: Cross multiply
    10,436,064x = 14,420,296 × 14,420,296
  4. Step 4: Simplify right side
    10,436,064x = 207,944,936,727,616
  5. Step 5: Solve for x
    x = 207,944,936,727,616/10,436,064
  6. Step 6: Final answer
    x = 19,925,609.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.