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Finding the Third Proportional to 22,856,406 and 48,812,611.50

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Solution

The third proportional to 22,856,406 and 48,812,611.50 is: 104,245,218.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,856,406 : 48,812,611.50 = 48,812,611.50 : x
  2. Step 2: Convert to fraction form
    22,856,406/48,812,611.50 = 48,812,611.50/x
  3. Step 3: Cross multiply
    22,856,406x = 48,812,611.50 × 48,812,611.50
  4. Step 4: Simplify right side
    22,856,406x = 2,382,671,041,449,932
  5. Step 5: Solve for x
    x = 2,382,671,041,449,932/22,856,406
  6. Step 6: Final answer
    x = 104,245,218.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.