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Finding the Third Proportional to 7,403,678 and 16,508,766

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Solution

The third proportional to 7,403,678 and 16,508,766 is: 36,811,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,403,678 : 16,508,766 = 16,508,766 : x
  2. Step 2: Convert to fraction form
    7,403,678/16,508,766 = 16,508,766/x
  3. Step 3: Cross multiply
    7,403,678x = 16,508,766 × 16,508,766
  4. Step 4: Simplify right side
    7,403,678x = 272,539,354,842,756
  5. Step 5: Solve for x
    x = 272,539,354,842,756/7,403,678
  6. Step 6: Final answer
    x = 36,811,346.31

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.