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Finding the Third Proportional to 11,167,578,189 and 24,196,351,320

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Solution

The third proportional to 11,167,578,189 and 24,196,351,320 is: 52,425,280,333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,167,578,189 : 24,196,351,320 = 24,196,351,320 : x
  2. Step 2: Convert to fraction form
    11,167,578,189/24,196,351,320 = 24,196,351,320/x
  3. Step 3: Cross multiply
    11,167,578,189x = 24,196,351,320 × 24,196,351,320
  4. Step 4: Simplify right side
    11,167,578,189x = 585,463,417,200,865,771,520
  5. Step 5: Solve for x
    x = 585,463,417,200,865,771,520/11,167,578,189
  6. Step 6: Final answer
    x = 52,425,280,333.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.