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Finding the Third Proportional to 13,894,230,473 and 21,468,889,322

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Solution

The third proportional to 13,894,230,473 and 21,468,889,322 is: 33,172,992,891.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894,230,473 : 21,468,889,322 = 21,468,889,322 : x
  2. Step 2: Convert to fraction form
    13,894,230,473/21,468,889,322 = 21,468,889,322/x
  3. Step 3: Cross multiply
    13,894,230,473x = 21,468,889,322 × 21,468,889,322
  4. Step 4: Simplify right side
    13,894,230,473x = 460,913,208,720,285,630,464
  5. Step 5: Solve for x
    x = 460,913,208,720,285,630,464/13,894,230,473
  6. Step 6: Final answer
    x = 33,172,992,891.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.