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Finding the Third Proportional to 31,501,813.50 and 68,381,446.50

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Solution

The third proportional to 31,501,813.50 and 68,381,446.50 is: 148,436,604.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,501,813.50 : 68,381,446.50 = 68,381,446.50 : x
  2. Step 2: Convert to fraction form
    31,501,813.50/68,381,446.50 = 68,381,446.50/x
  3. Step 3: Cross multiply
    31,501,813.50x = 68,381,446.50 × 68,381,446.50
  4. Step 4: Simplify right side
    31,501,813.50x = 4,676,022,225,432,362
  5. Step 5: Solve for x
    x = 4,676,022,225,432,362/31,501,813.50
  6. Step 6: Final answer
    x = 148,436,604.31

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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.