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Finding the Third Proportional to 14,467,796 and 31,207,120

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Solution

The third proportional to 14,467,796 and 31,207,120 is: 67,313,939.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,467,796 : 31,207,120 = 31,207,120 : x
  2. Step 2: Convert to fraction form
    14,467,796/31,207,120 = 31,207,120/x
  3. Step 3: Cross multiply
    14,467,796x = 31,207,120 × 31,207,120
  4. Step 4: Simplify right side
    14,467,796x = 973,884,338,694,400
  5. Step 5: Solve for x
    x = 973,884,338,694,400/14,467,796
  6. Step 6: Final answer
    x = 67,313,939.09

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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.