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Finding the Third Proportional to 3,740,454,522 and 8,131,974,084

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Solution

The third proportional to 3,740,454,522 and 8,131,974,084 is: 17,679,402,894.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740,454,522 : 8,131,974,084 = 8,131,974,084 : x
  2. Step 2: Convert to fraction form
    3,740,454,522/8,131,974,084 = 8,131,974,084/x
  3. Step 3: Cross multiply
    3,740,454,522x = 8,131,974,084 × 8,131,974,084
  4. Step 4: Simplify right side
    3,740,454,522x = 66,129,002,502,847,635,456
  5. Step 5: Solve for x
    x = 66,129,002,502,847,635,456/3,740,454,522
  6. Step 6: Final answer
    x = 17,679,402,894.46

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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.