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Finding the Third Proportional to 10,672,117,236 and 23,181,400,980

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Solution

The third proportional to 10,672,117,236 and 23,181,400,980 is: 50,353,396,567.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672,117,236 : 23,181,400,980 = 23,181,400,980 : x
  2. Step 2: Convert to fraction form
    10,672,117,236/23,181,400,980 = 23,181,400,980/x
  3. Step 3: Cross multiply
    10,672,117,236x = 23,181,400,980 × 23,181,400,980
  4. Step 4: Simplify right side
    10,672,117,236x = 537,377,351,395,544,989,696
  5. Step 5: Solve for x
    x = 537,377,351,395,544,989,696/10,672,117,236
  6. Step 6: Final answer
    x = 50,353,396,567.16

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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.