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Finding the Third Proportional to 1,970,642,616 and 2,755,079,100

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Solution

The third proportional to 1,970,642,616 and 2,755,079,100 is: 3,851,769,359.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970,642,616 : 2,755,079,100 = 2,755,079,100 : x
  2. Step 2: Convert to fraction form
    1,970,642,616/2,755,079,100 = 2,755,079,100/x
  3. Step 3: Cross multiply
    1,970,642,616x = 2,755,079,100 × 2,755,079,100
  4. Step 4: Simplify right side
    1,970,642,616x = 7,590,460,847,256,810,496
  5. Step 5: Solve for x
    x = 7,590,460,847,256,810,496/1,970,642,616
  6. Step 6: Final answer
    x = 3,851,769,359.71

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.