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Finding the Third Proportional to 7,649,545 and 16,644,906

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Solution

The third proportional to 7,649,545 and 16,644,906 is: 36,218,218.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649,545 : 16,644,906 = 16,644,906 : x
  2. Step 2: Convert to fraction form
    7,649,545/16,644,906 = 16,644,906/x
  3. Step 3: Cross multiply
    7,649,545x = 16,644,906 × 16,644,906
  4. Step 4: Simplify right side
    7,649,545x = 277,052,895,748,836
  5. Step 5: Solve for x
    x = 277,052,895,748,836/7,649,545
  6. Step 6: Final answer
    x = 36,218,218.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.