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Finding the Third Proportional to 9,894,398 and 15,135,864

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Solution

The third proportional to 9,894,398 and 15,135,864 is: 23,153,948.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894,398 : 15,135,864 = 15,135,864 : x
  2. Step 2: Convert to fraction form
    9,894,398/15,135,864 = 15,135,864/x
  3. Step 3: Cross multiply
    9,894,398x = 15,135,864 × 15,135,864
  4. Step 4: Simplify right side
    9,894,398x = 229,094,379,026,496
  5. Step 5: Solve for x
    x = 229,094,379,026,496/9,894,398
  6. Step 6: Final answer
    x = 23,153,948.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.