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Finding the Third Proportional to 3,579,617,232 and 8,438,153,184

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Solution

The third proportional to 3,579,617,232 and 8,438,153,184 is: 19,891,073,414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,579,617,232 : 8,438,153,184 = 8,438,153,184 : x
  2. Step 2: Convert to fraction form
    3,579,617,232/8,438,153,184 = 8,438,153,184/x
  3. Step 3: Cross multiply
    3,579,617,232x = 8,438,153,184 × 8,438,153,184
  4. Step 4: Simplify right side
    3,579,617,232x = 71,202,429,156,649,336,832
  5. Step 5: Solve for x
    x = 71,202,429,156,649,336,832/3,579,617,232
  6. Step 6: Final answer
    x = 19,891,073,414.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.