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Finding the Third Proportional to 31,501,672 and 68,381,176

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Solution

The third proportional to 31,501,672 and 68,381,176 is: 148,436,096.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,501,672 : 68,381,176 = 68,381,176 : x
  2. Step 2: Convert to fraction form
    31,501,672/68,381,176 = 68,381,176/x
  3. Step 3: Cross multiply
    31,501,672x = 68,381,176 × 68,381,176
  4. Step 4: Simplify right side
    31,501,672x = 4,675,985,231,142,976
  5. Step 5: Solve for x
    x = 4,675,985,231,142,976/31,501,672
  6. Step 6: Final answer
    x = 148,436,096.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.