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Finding the Third Proportional to 31,111,106 and 48,693,027

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Solution

The third proportional to 31,111,106 and 48,693,027 is: 76,211,076.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,111,106 : 48,693,027 = 48,693,027 : x
  2. Step 2: Convert to fraction form
    31,111,106/48,693,027 = 48,693,027/x
  3. Step 3: Cross multiply
    31,111,106x = 48,693,027 × 48,693,027
  4. Step 4: Simplify right side
    31,111,106x = 2,371,010,878,422,729
  5. Step 5: Solve for x
    x = 2,371,010,878,422,729/31,111,106
  6. Step 6: Final answer
    x = 76,211,076.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.