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Finding the Third Proportional to 16,969,985,980 and 34,423,850,084

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Solution

The third proportional to 16,969,985,980 and 34,423,850,084 is: 69,829,253,601.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,969,985,980 : 34,423,850,084 = 34,423,850,084 : x
  2. Step 2: Convert to fraction form
    16,969,985,980/34,423,850,084 = 34,423,850,084/x
  3. Step 3: Cross multiply
    16,969,985,980x = 34,423,850,084 × 34,423,850,084
  4. Step 4: Simplify right side
    16,969,985,980x = 1,185,001,454,605,706,723,328
  5. Step 5: Solve for x
    x = 1,185,001,454,605,706,723,328/16,969,985,980
  6. Step 6: Final answer
    x = 69,829,253,601.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.