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Finding the Third Proportional to 31,111,172 and 48,693,142

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Solution

The third proportional to 31,111,172 and 48,693,142 is: 76,211,274.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,111,172 : 48,693,142 = 48,693,142 : x
  2. Step 2: Convert to fraction form
    31,111,172/48,693,142 = 48,693,142/x
  3. Step 3: Cross multiply
    31,111,172x = 48,693,142 × 48,693,142
  4. Step 4: Simplify right side
    31,111,172x = 2,371,022,077,832,164
  5. Step 5: Solve for x
    x = 2,371,022,077,832,164/31,111,172
  6. Step 6: Final answer
    x = 76,211,274.77

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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.