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Finding the Third Proportional to 54,435,601,224 and 85,393,318,608

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Solution

The third proportional to 54,435,601,224 and 85,393,318,608 is: 133,956,798,472.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,435,601,224 : 85,393,318,608 = 85,393,318,608 : x
  2. Step 2: Convert to fraction form
    54,435,601,224/85,393,318,608 = 85,393,318,608/x
  3. Step 3: Cross multiply
    54,435,601,224x = 85,393,318,608 × 85,393,318,608
  4. Step 4: Simplify right side
    54,435,601,224x = 7,292,018,862,887,399,325,696
  5. Step 5: Solve for x
    x = 7,292,018,862,887,399,325,696/54,435,601,224
  6. Step 6: Final answer
    x = 133,956,798,472.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.