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Finding the Third Proportional to 66,784,092 and 100,701,698

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Solution

The third proportional to 66,784,092 and 100,701,698 is: 151,845,022.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,784,092 : 100,701,698 = 100,701,698 : x
  2. Step 2: Convert to fraction form
    66,784,092/100,701,698 = 100,701,698/x
  3. Step 3: Cross multiply
    66,784,092x = 100,701,698 × 100,701,698
  4. Step 4: Simplify right side
    66,784,092x = 10,140,831,980,083,204
  5. Step 5: Solve for x
    x = 10,140,831,980,083,204/66,784,092
  6. Step 6: Final answer
    x = 151,845,022.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.