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Finding the Third Proportional to 10,672,117,226 and 23,181,400,960

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Solution

The third proportional to 10,672,117,226 and 23,181,400,960 is: 50,353,396,527.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672,117,226 : 23,181,400,960 = 23,181,400,960 : x
  2. Step 2: Convert to fraction form
    10,672,117,226/23,181,400,960 = 23,181,400,960/x
  3. Step 3: Cross multiply
    10,672,117,226x = 23,181,400,960 × 23,181,400,960
  4. Step 4: Simplify right side
    10,672,117,226x = 537,377,350,468,288,905,216
  5. Step 5: Solve for x
    x = 537,377,350,468,288,905,216/10,672,117,226
  6. Step 6: Final answer
    x = 50,353,396,527.46

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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.