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Finding the Third Proportional to 23,911,717.50 and 49,524,783.75

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Solution

The third proportional to 23,911,717.50 and 49,524,783.75 is: 102,573,318.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,911,717.50 : 49,524,783.75 = 49,524,783.75 : x
  2. Step 2: Convert to fraction form
    23,911,717.50/49,524,783.75 = 49,524,783.75/x
  3. Step 3: Cross multiply
    23,911,717.50x = 49,524,783.75 × 49,524,783.75
  4. Step 4: Simplify right side
    23,911,717.50x = 2,452,704,205,484,264
  5. Step 5: Solve for x
    x = 2,452,704,205,484,264/23,911,717.50
  6. Step 6: Final answer
    x = 102,573,318.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.