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Finding the Third Proportional to 7,061,634 and 14,970,717

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Solution

The third proportional to 7,061,634 and 14,970,717 is: 31,738,032.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061,634 : 14,970,717 = 14,970,717 : x
  2. Step 2: Convert to fraction form
    7,061,634/14,970,717 = 14,970,717/x
  3. Step 3: Cross multiply
    7,061,634x = 14,970,717 × 14,970,717
  4. Step 4: Simplify right side
    7,061,634x = 224,122,367,494,089
  5. Step 5: Solve for x
    x = 224,122,367,494,089/7,061,634
  6. Step 6: Final answer
    x = 31,738,032.23

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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.