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Finding the Third Proportional to 23,252,511.75 and 54,311,106.75

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Solution

The third proportional to 23,252,511.75 and 54,311,106.75 is: 126,854,954.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,252,511.75 : 54,311,106.75 = 54,311,106.75 : x
  2. Step 2: Convert to fraction form
    23,252,511.75/54,311,106.75 = 54,311,106.75/x
  3. Step 3: Cross multiply
    23,252,511.75x = 54,311,106.75 × 54,311,106.75
  4. Step 4: Simplify right side
    23,252,511.75x = 2,949,696,316,409,895.50
  5. Step 5: Solve for x
    x = 2,949,696,316,409,895.50/23,252,511.75
  6. Step 6: Final answer
    x = 126,854,954.34

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.