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Finding the Third Proportional to 6,737,106 and 10,355,520

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Solution

The third proportional to 6,737,106 and 10,355,520 is: 15,917,338.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737,106 : 10,355,520 = 10,355,520 : x
  2. Step 2: Convert to fraction form
    6,737,106/10,355,520 = 10,355,520/x
  3. Step 3: Cross multiply
    6,737,106x = 10,355,520 × 10,355,520
  4. Step 4: Simplify right side
    6,737,106x = 107,236,794,470,400
  5. Step 5: Solve for x
    x = 107,236,794,470,400/6,737,106
  6. Step 6: Final answer
    x = 15,917,338.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.