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Finding the Third Proportional to 66,350,247,528 and 146,224,788,384

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Solution

The third proportional to 66,350,247,528 and 146,224,788,384 is: 322,254,845,076.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,350,247,528 : 146,224,788,384 = 146,224,788,384 : x
  2. Step 2: Convert to fraction form
    66,350,247,528/146,224,788,384 = 146,224,788,384/x
  3. Step 3: Cross multiply
    66,350,247,528x = 146,224,788,384 × 146,224,788,384
  4. Step 4: Simplify right side
    66,350,247,528x = 21,381,688,737,945,582,829,568
  5. Step 5: Solve for x
    x = 21,381,688,737,945,582,829,568/66,350,247,528
  6. Step 6: Final answer
    x = 322,254,845,076.84

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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.