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Finding the Third Proportional to 7,656,828 and 16,823,128

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Solution

The third proportional to 7,656,828 and 16,823,128 is: 36,962,778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656,828 : 16,823,128 = 16,823,128 : x
  2. Step 2: Convert to fraction form
    7,656,828/16,823,128 = 16,823,128/x
  3. Step 3: Cross multiply
    7,656,828x = 16,823,128 × 16,823,128
  4. Step 4: Simplify right side
    7,656,828x = 283,017,635,704,384
  5. Step 5: Solve for x
    x = 283,017,635,704,384/7,656,828
  6. Step 6: Final answer
    x = 36,962,778.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.