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Finding the Third Proportional to 23,205,015 and 49,176,213.75

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Solution

The third proportional to 23,205,015 and 49,176,213.75 is: 104,214,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205,015 : 49,176,213.75 = 49,176,213.75 : x
  2. Step 2: Convert to fraction form
    23,205,015/49,176,213.75 = 49,176,213.75/x
  3. Step 3: Cross multiply
    23,205,015x = 49,176,213.75 × 49,176,213.75
  4. Step 4: Simplify right side
    23,205,015x = 2,418,299,998,785,689
  5. Step 5: Solve for x
    x = 2,418,299,998,785,689/23,205,015
  6. Step 6: Final answer
    x = 104,214,541.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.