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Finding the Third Proportional to 22,152,352,238 and 47,664,517,746

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Solution

The third proportional to 22,152,352,238 and 47,664,517,746 is: 102,558,239,754.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,152,352,238 : 47,664,517,746 = 47,664,517,746 : x
  2. Step 2: Convert to fraction form
    22,152,352,238/47,664,517,746 = 47,664,517,746/x
  3. Step 3: Cross multiply
    22,152,352,238x = 47,664,517,746 × 47,664,517,746
  4. Step 4: Simplify right side
    22,152,352,238x = 2,271,906,251,958,748,971,008
  5. Step 5: Solve for x
    x = 2,271,906,251,958,748,971,008/22,152,352,238
  6. Step 6: Final answer
    x = 102,558,239,754.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.