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Finding the Third Proportional to 997,238,546,271 and 2,022,226,419,951

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Solution

The third proportional to 997,238,546,271 and 2,022,226,419,951 is: 4,100,723,652,168.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,238,546,271 : 2,022,226,419,951 = 2,022,226,419,951 : x
  2. Step 2: Convert to fraction form
    997,238,546,271/2,022,226,419,951 = 2,022,226,419,951/x
  3. Step 3: Cross multiply
    997,238,546,271x = 2,022,226,419,951 × 2,022,226,419,951
  4. Step 4: Simplify right side
    997,238,546,271x = 4,089,399,693,547,838,180,950,016
  5. Step 5: Solve for x
    x = 4,089,399,693,547,838,180,950,016/997,238,546,271
  6. Step 6: Final answer
    x = 4,100,723,652,168.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.