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Finding the Third Proportional to 47,441,569.50 and 71,667,823.50

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Solution

The third proportional to 47,441,569.50 and 71,667,823.50 is: 108,265,324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,441,569.50 : 71,667,823.50 = 71,667,823.50 : x
  2. Step 2: Convert to fraction form
    47,441,569.50/71,667,823.50 = 71,667,823.50/x
  3. Step 3: Cross multiply
    47,441,569.50x = 71,667,823.50 × 71,667,823.50
  4. Step 4: Simplify right side
    47,441,569.50x = 5,136,276,925,227,152
  5. Step 5: Solve for x
    x = 5,136,276,925,227,152/47,441,569.50
  6. Step 6: Final answer
    x = 108,265,324.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.