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Finding the Third Proportional to 7,706,930 and 16,051,451

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Solution

The third proportional to 7,706,930 and 16,051,451 is: 33,430,831.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706,930 : 16,051,451 = 16,051,451 : x
  2. Step 2: Convert to fraction form
    7,706,930/16,051,451 = 16,051,451/x
  3. Step 3: Cross multiply
    7,706,930x = 16,051,451 × 16,051,451
  4. Step 4: Simplify right side
    7,706,930x = 257,649,079,205,401
  5. Step 5: Solve for x
    x = 257,649,079,205,401/7,706,930
  6. Step 6: Final answer
    x = 33,430,831.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.