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Finding the Third Proportional to 31,049,042,888 and 67,538,199,368

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Solution

The third proportional to 31,049,042,888 and 67,538,199,368 is: 146,909,790,112.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,049,042,888 : 67,538,199,368 = 67,538,199,368 : x
  2. Step 2: Convert to fraction form
    31,049,042,888/67,538,199,368 = 67,538,199,368/x
  3. Step 3: Cross multiply
    31,049,042,888x = 67,538,199,368 × 67,538,199,368
  4. Step 4: Simplify right side
    31,049,042,888x = 4,561,408,373,871,715,811,328
  5. Step 5: Solve for x
    x = 4,561,408,373,871,715,811,328/31,049,042,888
  6. Step 6: Final answer
    x = 146,909,790,112.55

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.