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Finding the Third Proportional to 19,764,384 and 29,530,200

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Solution

The third proportional to 19,764,384 and 29,530,200 is: 44,121,421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,764,384 : 29,530,200 = 29,530,200 : x
  2. Step 2: Convert to fraction form
    19,764,384/29,530,200 = 29,530,200/x
  3. Step 3: Cross multiply
    19,764,384x = 29,530,200 × 29,530,200
  4. Step 4: Simplify right side
    19,764,384x = 872,032,712,040,000
  5. Step 5: Solve for x
    x = 872,032,712,040,000/19,764,384
  6. Step 6: Final answer
    x = 44,121,421.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.