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Finding the Third Proportional to 7,880,914 and 17,019,236

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Solution

The third proportional to 7,880,914 and 17,019,236 is: 36,753,908.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880,914 : 17,019,236 = 17,019,236 : x
  2. Step 2: Convert to fraction form
    7,880,914/17,019,236 = 17,019,236/x
  3. Step 3: Cross multiply
    7,880,914x = 17,019,236 × 17,019,236
  4. Step 4: Simplify right side
    7,880,914x = 289,654,394,023,696
  5. Step 5: Solve for x
    x = 289,654,394,023,696/7,880,914
  6. Step 6: Final answer
    x = 36,753,908.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.