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Finding the Third Proportional to 10,922,400 and 14,703,696

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Solution

The third proportional to 10,922,400 and 14,703,696 is: 19,794,063.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922,400 : 14,703,696 = 14,703,696 : x
  2. Step 2: Convert to fraction form
    10,922,400/14,703,696 = 14,703,696/x
  3. Step 3: Cross multiply
    10,922,400x = 14,703,696 × 14,703,696
  4. Step 4: Simplify right side
    10,922,400x = 216,198,676,060,416
  5. Step 5: Solve for x
    x = 216,198,676,060,416/10,922,400
  6. Step 6: Final answer
    x = 19,794,063.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.