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Finding the Third Proportional to 9,233,370 and 15,842,901

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Solution

The third proportional to 9,233,370 and 15,842,901 is: 27,183,738.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233,370 : 15,842,901 = 15,842,901 : x
  2. Step 2: Convert to fraction form
    9,233,370/15,842,901 = 15,842,901/x
  3. Step 3: Cross multiply
    9,233,370x = 15,842,901 × 15,842,901
  4. Step 4: Simplify right side
    9,233,370x = 250,997,512,095,801
  5. Step 5: Solve for x
    x = 250,997,512,095,801/9,233,370
  6. Step 6: Final answer
    x = 27,183,738.13

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.