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Finding the Third Proportional to 11,000,844,099 and 23,829,251,808

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Solution

The third proportional to 11,000,844,099 and 23,829,251,808 is: 51,617,242,878.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000,844,099 : 23,829,251,808 = 23,829,251,808 : x
  2. Step 2: Convert to fraction form
    11,000,844,099/23,829,251,808 = 23,829,251,808/x
  3. Step 3: Cross multiply
    11,000,844,099x = 23,829,251,808 × 23,829,251,808
  4. Step 4: Simplify right side
    11,000,844,099x = 567,833,241,729,071,251,456
  5. Step 5: Solve for x
    x = 567,833,241,729,071,251,456/11,000,844,099
  6. Step 6: Final answer
    x = 51,617,242,878.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.