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Finding the Third Proportional to 9,795,342 and 22,873,728

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Solution

The third proportional to 9,795,342 and 22,873,728 is: 53,413,901.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795,342 : 22,873,728 = 22,873,728 : x
  2. Step 2: Convert to fraction form
    9,795,342/22,873,728 = 22,873,728/x
  3. Step 3: Cross multiply
    9,795,342x = 22,873,728 × 22,873,728
  4. Step 4: Simplify right side
    9,795,342x = 523,207,432,617,984
  5. Step 5: Solve for x
    x = 523,207,432,617,984/9,795,342
  6. Step 6: Final answer
    x = 53,413,901.49

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.