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Finding the Third Proportional to 919,837,693,899 and 2,001,647,407,158

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Solution

The third proportional to 919,837,693,899 and 2,001,647,407,158 is: 4,355,760,118,504.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,837,693,899 : 2,001,647,407,158 = 2,001,647,407,158 : x
  2. Step 2: Convert to fraction form
    919,837,693,899/2,001,647,407,158 = 2,001,647,407,158/x
  3. Step 3: Cross multiply
    919,837,693,899x = 2,001,647,407,158 × 2,001,647,407,158
  4. Step 4: Simplify right side
    919,837,693,899x = 4,006,592,342,582,344,076,492,800
  5. Step 5: Solve for x
    x = 4,006,592,342,582,344,076,492,800/919,837,693,899
  6. Step 6: Final answer
    x = 4,355,760,118,504.42

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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.