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Finding the Third Proportional to 11,000,844,101 and 23,829,251,812

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Solution

The third proportional to 11,000,844,101 and 23,829,251,812 is: 51,617,242,886.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000,844,101 : 23,829,251,812 = 23,829,251,812 : x
  2. Step 2: Convert to fraction form
    11,000,844,101/23,829,251,812 = 23,829,251,812/x
  3. Step 3: Cross multiply
    11,000,844,101x = 23,829,251,812 × 23,829,251,812
  4. Step 4: Simplify right side
    11,000,844,101x = 567,833,241,919,705,251,840
  5. Step 5: Solve for x
    x = 567,833,241,919,705,251,840/11,000,844,101
  6. Step 6: Final answer
    x = 51,617,242,886.67

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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.