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Finding the Third Proportional to 31,111,176 and 48,693,148

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Solution

The third proportional to 31,111,176 and 48,693,148 is: 76,211,283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,111,176 : 48,693,148 = 48,693,148 : x
  2. Step 2: Convert to fraction form
    31,111,176/48,693,148 = 48,693,148/x
  3. Step 3: Cross multiply
    31,111,176x = 48,693,148 × 48,693,148
  4. Step 4: Simplify right side
    31,111,176x = 2,371,022,662,149,904
  5. Step 5: Solve for x
    x = 2,371,022,662,149,904/31,111,176
  6. Step 6: Final answer
    x = 76,211,283.76

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