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Finding the Third Proportional to 4,197,858,131 and 9,186,504,358

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Solution

The third proportional to 4,197,858,131 and 9,186,504,358 is: 20,103,552,737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197,858,131 : 9,186,504,358 = 9,186,504,358 : x
  2. Step 2: Convert to fraction form
    4,197,858,131/9,186,504,358 = 9,186,504,358/x
  3. Step 3: Cross multiply
    4,197,858,131x = 9,186,504,358 × 9,186,504,358
  4. Step 4: Simplify right side
    4,197,858,131x = 84,391,862,319,552,987,136
  5. Step 5: Solve for x
    x = 84,391,862,319,552,987,136/4,197,858,131
  6. Step 6: Final answer
    x = 20,103,552,737.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.