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Finding the Third Proportional to 17,824,032 and 25,984,944

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Solution

The third proportional to 17,824,032 and 25,984,944 is: 37,882,411.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,824,032 : 25,984,944 = 25,984,944 : x
  2. Step 2: Convert to fraction form
    17,824,032/25,984,944 = 25,984,944/x
  3. Step 3: Cross multiply
    17,824,032x = 25,984,944 × 25,984,944
  4. Step 4: Simplify right side
    17,824,032x = 675,217,314,683,136
  5. Step 5: Solve for x
    x = 675,217,314,683,136/17,824,032
  6. Step 6: Final answer
    x = 37,882,411.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.