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Finding the Third Proportional to 10,684,040 and 16,553,847

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Solution

The third proportional to 10,684,040 and 16,553,847 is: 25,648,523.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684,040 : 16,553,847 = 16,553,847 : x
  2. Step 2: Convert to fraction form
    10,684,040/16,553,847 = 16,553,847/x
  3. Step 3: Cross multiply
    10,684,040x = 16,553,847 × 16,553,847
  4. Step 4: Simplify right side
    10,684,040x = 274,029,850,499,409
  5. Step 5: Solve for x
    x = 274,029,850,499,409/10,684,040
  6. Step 6: Final answer
    x = 25,648,523.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.