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Finding the Third Proportional to 1,855,142,172 and 4,043,617,992

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Solution

The third proportional to 1,855,142,172 and 4,043,617,992 is: 8,813,796,975.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855,142,172 : 4,043,617,992 = 4,043,617,992 : x
  2. Step 2: Convert to fraction form
    1,855,142,172/4,043,617,992 = 4,043,617,992/x
  3. Step 3: Cross multiply
    1,855,142,172x = 4,043,617,992 × 4,043,617,992
  4. Step 4: Simplify right side
    1,855,142,172x = 16,350,846,465,226,113,024
  5. Step 5: Solve for x
    x = 16,350,846,465,226,113,024/1,855,142,172
  6. Step 6: Final answer
    x = 8,813,796,975.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.