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Finding the Third Proportional to 14,410,213 and 31,379,014

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Solution

The third proportional to 14,410,213 and 31,379,014 is: 68,329,491.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410,213 : 31,379,014 = 31,379,014 : x
  2. Step 2: Convert to fraction form
    14,410,213/31,379,014 = 31,379,014/x
  3. Step 3: Cross multiply
    14,410,213x = 31,379,014 × 31,379,014
  4. Step 4: Simplify right side
    14,410,213x = 984,642,519,612,196
  5. Step 5: Solve for x
    x = 984,642,519,612,196/14,410,213
  6. Step 6: Final answer
    x = 68,329,491.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.