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Finding the Third Proportional to 17,734,460 and 26,728,533

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Solution

The third proportional to 17,734,460 and 26,728,533 is: 40,283,971.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,734,460 : 26,728,533 = 26,728,533 : x
  2. Step 2: Convert to fraction form
    17,734,460/26,728,533 = 26,728,533/x
  3. Step 3: Cross multiply
    17,734,460x = 26,728,533 × 26,728,533
  4. Step 4: Simplify right side
    17,734,460x = 714,414,476,332,089
  5. Step 5: Solve for x
    x = 714,414,476,332,089/17,734,460
  6. Step 6: Final answer
    x = 40,283,971.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.