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Finding the Third Proportional to 6,977,689 and 14,783,908

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Solution

The third proportional to 6,977,689 and 14,783,908 is: 31,323,255.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977,689 : 14,783,908 = 14,783,908 : x
  2. Step 2: Convert to fraction form
    6,977,689/14,783,908 = 14,783,908/x
  3. Step 3: Cross multiply
    6,977,689x = 14,783,908 × 14,783,908
  4. Step 4: Simplify right side
    6,977,689x = 218,563,935,752,464
  5. Step 5: Solve for x
    x = 218,563,935,752,464/6,977,689
  6. Step 6: Final answer
    x = 31,323,255.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.