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Finding the Third Proportional to 4,197,874,410 and 9,186,536,338

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Solution

The third proportional to 4,197,874,410 and 9,186,536,338 is: 20,103,614,745.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197,874,410 : 9,186,536,338 = 9,186,536,338 : x
  2. Step 2: Convert to fraction form
    4,197,874,410/9,186,536,338 = 9,186,536,338/x
  3. Step 3: Cross multiply
    4,197,874,410x = 9,186,536,338 × 9,186,536,338
  4. Step 4: Simplify right side
    4,197,874,410x = 84,392,449,889,394,442,240
  5. Step 5: Solve for x
    x = 84,392,449,889,394,442,240/4,197,874,410
  6. Step 6: Final answer
    x = 20,103,614,745.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.