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Finding the Third Proportional to 20,978,736.75 and 49,452,838.88

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Solution

The third proportional to 20,978,736.75 and 49,452,838.88 is: 116,574,382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978,736.75 : 49,452,838.88 = 49,452,838.88 : x
  2. Step 2: Convert to fraction form
    20,978,736.75/49,452,838.88 = 49,452,838.88/x
  3. Step 3: Cross multiply
    20,978,736.75x = 49,452,838.88 × 49,452,838.88
  4. Step 4: Simplify right side
    20,978,736.75x = 2,445,583,272,796,711.50
  5. Step 5: Solve for x
    x = 2,445,583,272,796,711.50/20,978,736.75
  6. Step 6: Final answer
    x = 116,574,382.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.