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Finding the Third Proportional to 66,350,245,916 and 146,224,785,088

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Solution

The third proportional to 66,350,245,916 and 146,224,785,088 is: 322,254,838,378.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,350,245,916 : 146,224,785,088 = 146,224,785,088 : x
  2. Step 2: Convert to fraction form
    66,350,245,916/146,224,785,088 = 146,224,785,088/x
  3. Step 3: Cross multiply
    66,350,245,916x = 146,224,785,088 × 146,224,785,088
  4. Step 4: Simplify right side
    66,350,245,916x = 21,381,687,774,031,785,230,336
  5. Step 5: Solve for x
    x = 21,381,687,774,031,785,230,336/66,350,245,916
  6. Step 6: Final answer
    x = 322,254,838,378.46

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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.