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Finding the Third Proportional to 85,812,816,672 and 184,740,449,130

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Solution

The third proportional to 85,812,816,672 and 184,740,449,130 is: 397,714,873,702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,812,816,672 : 184,740,449,130 = 184,740,449,130 : x
  2. Step 2: Convert to fraction form
    85,812,816,672/184,740,449,130 = 184,740,449,130/x
  3. Step 3: Cross multiply
    85,812,816,672x = 184,740,449,130 × 184,740,449,130
  4. Step 4: Simplify right side
    85,812,816,672x = 34,129,033,544,754,119,311,360
  5. Step 5: Solve for x
    x = 34,129,033,544,754,119,311,360/85,812,816,672
  6. Step 6: Final answer
    x = 397,714,873,702.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.