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Finding the Third Proportional to 66,350,245,903 and 146,224,785,058

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Solution

The third proportional to 66,350,245,903 and 146,224,785,058 is: 322,254,838,309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,350,245,903 : 146,224,785,058 = 146,224,785,058 : x
  2. Step 2: Convert to fraction form
    66,350,245,903/146,224,785,058 = 146,224,785,058/x
  3. Step 3: Cross multiply
    66,350,245,903x = 146,224,785,058 × 146,224,785,058
  4. Step 4: Simplify right side
    66,350,245,903x = 21,381,687,765,258,299,506,688
  5. Step 5: Solve for x
    x = 21,381,687,765,258,299,506,688/66,350,245,903
  6. Step 6: Final answer
    x = 322,254,838,309.37

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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.