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Finding the Third Proportional to 7,489,724 and 16,136,443

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Solution

The third proportional to 7,489,724 and 16,136,443 is: 34,765,605.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489,724 : 16,136,443 = 16,136,443 : x
  2. Step 2: Convert to fraction form
    7,489,724/16,136,443 = 16,136,443/x
  3. Step 3: Cross multiply
    7,489,724x = 16,136,443 × 16,136,443
  4. Step 4: Simplify right side
    7,489,724x = 260,384,792,692,249
  5. Step 5: Solve for x
    x = 260,384,792,692,249/7,489,724
  6. Step 6: Final answer
    x = 34,765,605.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.