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Finding the Third Proportional to 3,238,985,529,765 and 6,746,059,987,033.60

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Solution

The third proportional to 3,238,985,529,765 and 6,746,059,987,033.60 is: 14,050,487,391,945.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238,985,529,765 : 6,746,059,987,033.60 = 6,746,059,987,033.60 : x
  2. Step 2: Convert to fraction form
    3,238,985,529,765/6,746,059,987,033.60 = 6,746,059,987,033.60/x
  3. Step 3: Cross multiply
    3,238,985,529,765x = 6,746,059,987,033.60 × 6,746,059,987,033.60
  4. Step 4: Simplify right side
    3,238,985,529,765x = 45,509,325,348,655,770,892,238,848
  5. Step 5: Solve for x
    x = 45,509,325,348,655,770,892,238,848/3,238,985,529,765
  6. Step 6: Final answer
    x = 14,050,487,391,945.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.