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Finding the Third Proportional to 7,816,441 and 16,969,778

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Solution

The third proportional to 7,816,441 and 16,969,778 is: 36,842,005.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816,441 : 16,969,778 = 16,969,778 : x
  2. Step 2: Convert to fraction form
    7,816,441/16,969,778 = 16,969,778/x
  3. Step 3: Cross multiply
    7,816,441x = 16,969,778 × 16,969,778
  4. Step 4: Simplify right side
    7,816,441x = 287,973,365,369,284
  5. Step 5: Solve for x
    x = 287,973,365,369,284/7,816,441
  6. Step 6: Final answer
    x = 36,842,005.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.