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Finding the Third Proportional to 14,467,794 and 31,207,116

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Solution

The third proportional to 14,467,794 and 31,207,116 is: 67,313,931.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,467,794 : 31,207,116 = 31,207,116 : x
  2. Step 2: Convert to fraction form
    14,467,794/31,207,116 = 31,207,116/x
  3. Step 3: Cross multiply
    14,467,794x = 31,207,116 × 31,207,116
  4. Step 4: Simplify right side
    14,467,794x = 973,884,089,037,456
  5. Step 5: Solve for x
    x = 973,884,089,037,456/14,467,794
  6. Step 6: Final answer
    x = 67,313,931.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.