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Finding the Third Proportional to 3,449,753,502,611.80 and 7,450,314,970,579.60

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Solution

The third proportional to 3,449,753,502,611.80 and 7,450,314,970,579.60 is: 16,090,191,116,211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449,753,502,611.80 : 7,450,314,970,579.60 = 7,450,314,970,579.60 : x
  2. Step 2: Convert to fraction form
    3,449,753,502,611.80/7,450,314,970,579.60 = 7,450,314,970,579.60/x
  3. Step 3: Cross multiply
    3,449,753,502,611.80x = 7,450,314,970,579.60 × 7,450,314,970,579.60
  4. Step 4: Simplify right side
    3,449,753,502,611.80x = 55,507,193,160,842,502,188,564,480
  5. Step 5: Solve for x
    x = 55,507,193,160,842,502,188,564,480/3,449,753,502,611.80
  6. Step 6: Final answer
    x = 16,090,191,116,211.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.