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Finding the Third Proportional to 64,505,986,044 and 100,969,486,230

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Solution

The third proportional to 64,505,986,044 and 100,969,486,230 is: 158,044,823,043.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,505,986,044 : 100,969,486,230 = 100,969,486,230 : x
  2. Step 2: Convert to fraction form
    64,505,986,044/100,969,486,230 = 100,969,486,230/x
  3. Step 3: Cross multiply
    64,505,986,044x = 100,969,486,230 × 100,969,486,230
  4. Step 4: Simplify right side
    64,505,986,044x = 10,194,837,149,550,158,807,040
  5. Step 5: Solve for x
    x = 10,194,837,149,550,158,807,040/64,505,986,044
  6. Step 6: Final answer
    x = 158,044,823,043.19

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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.