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Finding the Third Proportional to 19,723,413,251 and 42,239,491,366

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Solution

The third proportional to 19,723,413,251 and 42,239,491,366 is: 90,459,729,670.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,723,413,251 : 42,239,491,366 = 42,239,491,366 : x
  2. Step 2: Convert to fraction form
    19,723,413,251/42,239,491,366 = 42,239,491,366/x
  3. Step 3: Cross multiply
    19,723,413,251x = 42,239,491,366 × 42,239,491,366
  4. Step 4: Simplify right side
    19,723,413,251x = 1,784,174,630,858,388,668,416
  5. Step 5: Solve for x
    x = 1,784,174,630,858,388,668,416/19,723,413,251
  6. Step 6: Final answer
    x = 90,459,729,670.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.