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Finding the Third Proportional to 19,891,086 and 30,715,317

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Solution

The third proportional to 19,891,086 and 30,715,317 is: 47,429,823.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,891,086 : 30,715,317 = 30,715,317 : x
  2. Step 2: Convert to fraction form
    19,891,086/30,715,317 = 30,715,317/x
  3. Step 3: Cross multiply
    19,891,086x = 30,715,317 × 30,715,317
  4. Step 4: Simplify right side
    19,891,086x = 943,430,698,410,489
  5. Step 5: Solve for x
    x = 943,430,698,410,489/19,891,086
  6. Step 6: Final answer
    x = 47,429,823.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.