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Finding the Third Proportional to 14,332,770 and 31,184,838

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Solution

The third proportional to 14,332,770 and 31,184,838 is: 67,851,093.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,332,770 : 31,184,838 = 31,184,838 : x
  2. Step 2: Convert to fraction form
    14,332,770/31,184,838 = 31,184,838/x
  3. Step 3: Cross multiply
    14,332,770x = 31,184,838 × 31,184,838
  4. Step 4: Simplify right side
    14,332,770x = 972,494,121,086,244
  5. Step 5: Solve for x
    x = 972,494,121,086,244/14,332,770
  6. Step 6: Final answer
    x = 67,851,093.76

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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.