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Finding the Third Proportional to 64,505,986,038 and 100,969,486,221

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Solution

The third proportional to 64,505,986,038 and 100,969,486,221 is: 158,044,823,029.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,505,986,038 : 100,969,486,221 = 100,969,486,221 : x
  2. Step 2: Convert to fraction form
    64,505,986,038/100,969,486,221 = 100,969,486,221/x
  3. Step 3: Cross multiply
    64,505,986,038x = 100,969,486,221 × 100,969,486,221
  4. Step 4: Simplify right side
    64,505,986,038x = 10,194,837,147,732,708,163,584
  5. Step 5: Solve for x
    x = 10,194,837,147,732,708,163,584/64,505,986,038
  6. Step 6: Final answer
    x = 158,044,823,029.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.