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Finding the Third Proportional to 46,377,432 and 100,746,144

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Solution

The third proportional to 46,377,432 and 100,746,144 is: 218,851,822.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,377,432 : 100,746,144 = 100,746,144 : x
  2. Step 2: Convert to fraction form
    46,377,432/100,746,144 = 100,746,144/x
  3. Step 3: Cross multiply
    46,377,432x = 100,746,144 × 100,746,144
  4. Step 4: Simplify right side
    46,377,432x = 10,149,785,530,868,736
  5. Step 5: Solve for x
    x = 10,149,785,530,868,736/46,377,432
  6. Step 6: Final answer
    x = 218,851,822.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.