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Finding the Third Proportional to 3,723,670,670 and 8,101,109,270

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Solution

The third proportional to 3,723,670,670 and 8,101,109,270 is: 17,624,536,974.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723,670,670 : 8,101,109,270 = 8,101,109,270 : x
  2. Step 2: Convert to fraction form
    3,723,670,670/8,101,109,270 = 8,101,109,270/x
  3. Step 3: Cross multiply
    3,723,670,670x = 8,101,109,270 × 8,101,109,270
  4. Step 4: Simplify right side
    3,723,670,670x = 65,627,971,404,479,930,368
  5. Step 5: Solve for x
    x = 65,627,971,404,479,930,368/3,723,670,670
  6. Step 6: Final answer
    x = 17,624,536,974.55

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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.