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Finding the Third Proportional to 4,425,952,363.88 and 7,226,416,785.38

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Solution

The third proportional to 4,425,952,363.88 and 7,226,416,785.38 is: 11,798,839,043.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,425,952,363.88 : 7,226,416,785.38 = 7,226,416,785.38 : x
  2. Step 2: Convert to fraction form
    4,425,952,363.88/7,226,416,785.38 = 7,226,416,785.38/x
  3. Step 3: Cross multiply
    4,425,952,363.88x = 7,226,416,785.38 × 7,226,416,785.38
  4. Step 4: Simplify right side
    4,425,952,363.88x = 52,221,099,555,949,551,616
  5. Step 5: Solve for x
    x = 52,221,099,555,949,551,616/4,425,952,363.88
  6. Step 6: Final answer
    x = 11,798,839,043.59

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.