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Finding the Third Proportional to 66,350,245,906 and 146,224,785,064

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Solution

The third proportional to 66,350,245,906 and 146,224,785,064 is: 322,254,838,321.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,350,245,906 : 146,224,785,064 = 146,224,785,064 : x
  2. Step 2: Convert to fraction form
    66,350,245,906/146,224,785,064 = 146,224,785,064/x
  3. Step 3: Cross multiply
    66,350,245,906x = 146,224,785,064 × 146,224,785,064
  4. Step 4: Simplify right side
    66,350,245,906x = 21,381,687,767,012,999,168,000
  5. Step 5: Solve for x
    x = 21,381,687,767,012,999,168,000/66,350,245,906
  6. Step 6: Final answer
    x = 322,254,838,321.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.