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Finding the Third Proportional to 6,710,664 and 14,600,976

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Solution

The third proportional to 6,710,664 and 14,600,976 is: 31,768,614.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710,664 : 14,600,976 = 14,600,976 : x
  2. Step 2: Convert to fraction form
    6,710,664/14,600,976 = 14,600,976/x
  3. Step 3: Cross multiply
    6,710,664x = 14,600,976 × 14,600,976
  4. Step 4: Simplify right side
    6,710,664x = 213,188,500,152,576
  5. Step 5: Solve for x
    x = 213,188,500,152,576/6,710,664
  6. Step 6: Final answer
    x = 31,768,614.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.