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Finding the Third Proportional to 66,350,245,908 and 146,224,785,068

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Solution

The third proportional to 66,350,245,908 and 146,224,785,068 is: 322,254,838,329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,350,245,908 : 146,224,785,068 = 146,224,785,068 : x
  2. Step 2: Convert to fraction form
    66,350,245,908/146,224,785,068 = 146,224,785,068/x
  3. Step 3: Cross multiply
    66,350,245,908x = 146,224,785,068 × 146,224,785,068
  4. Step 4: Simplify right side
    66,350,245,908x = 21,381,687,768,182,794,747,904
  5. Step 5: Solve for x
    x = 21,381,687,768,182,794,747,904/66,350,245,908
  6. Step 6: Final answer
    x = 322,254,838,329.16

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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.