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Finding the Third Proportional to 890,715,003.75 and 1,919,371,205.25

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Solution

The third proportional to 890,715,003.75 and 1,919,371,205.25 is: 4,135,987,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,715,003.75 : 1,919,371,205.25 = 1,919,371,205.25 : x
  2. Step 2: Convert to fraction form
    890,715,003.75/1,919,371,205.25 = 1,919,371,205.25/x
  3. Step 3: Cross multiply
    890,715,003.75x = 1,919,371,205.25 × 1,919,371,205.25
  4. Step 4: Simplify right side
    890,715,003.75x = 3,683,985,823,542,837,760
  5. Step 5: Solve for x
    x = 3,683,985,823,542,837,760/890,715,003.75
  6. Step 6: Final answer
    x = 4,135,987,165.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.