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Finding the Third Proportional to 7,891,545,318 and 17,172,320,480

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Solution

The third proportional to 7,891,545,318 and 17,172,320,480 is: 37,367,661,058.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891,545,318 : 17,172,320,480 = 17,172,320,480 : x
  2. Step 2: Convert to fraction form
    7,891,545,318/17,172,320,480 = 17,172,320,480/x
  3. Step 3: Cross multiply
    7,891,545,318x = 17,172,320,480 × 17,172,320,480
  4. Step 4: Simplify right side
    7,891,545,318x = 294,888,590,667,827,445,760
  5. Step 5: Solve for x
    x = 294,888,590,667,827,445,760/7,891,545,318
  6. Step 6: Final answer
    x = 37,367,661,058.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.