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Finding the Third Proportional to 1,419,502,589 and 3,088,961,999

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Solution

The third proportional to 1,419,502,589 and 3,088,961,999 is: 6,721,851,939.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,502,589 : 3,088,961,999 = 3,088,961,999 : x
  2. Step 2: Convert to fraction form
    1,419,502,589/3,088,961,999 = 3,088,961,999/x
  3. Step 3: Cross multiply
    1,419,502,589x = 3,088,961,999 × 3,088,961,999
  4. Step 4: Simplify right side
    1,419,502,589x = 9,541,686,231,266,076,672
  5. Step 5: Solve for x
    x = 9,541,686,231,266,076,672/1,419,502,589
  6. Step 6: Final answer
    x = 6,721,851,939.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.