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Finding the Third Proportional to 9,738,354 and 15,197,073

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Solution

The third proportional to 9,738,354 and 15,197,073 is: 23,715,612.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738,354 : 15,197,073 = 15,197,073 : x
  2. Step 2: Convert to fraction form
    9,738,354/15,197,073 = 15,197,073/x
  3. Step 3: Cross multiply
    9,738,354x = 15,197,073 × 15,197,073
  4. Step 4: Simplify right side
    9,738,354x = 230,951,027,767,329
  5. Step 5: Solve for x
    x = 230,951,027,767,329/9,738,354
  6. Step 6: Final answer
    x = 23,715,612.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.