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Finding the Third Proportional to 7,554,109 and 16,185,109

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Solution

The third proportional to 7,554,109 and 16,185,109 is: 34,677,518.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,554,109 : 16,185,109 = 16,185,109 : x
  2. Step 2: Convert to fraction form
    7,554,109/16,185,109 = 16,185,109/x
  3. Step 3: Cross multiply
    7,554,109x = 16,185,109 × 16,185,109
  4. Step 4: Simplify right side
    7,554,109x = 261,957,753,341,881
  5. Step 5: Solve for x
    x = 261,957,753,341,881/7,554,109
  6. Step 6: Final answer
    x = 34,677,518.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.