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Finding the Third Proportional to 15,672,634,552 and 34,100,152,976

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Solution

The third proportional to 15,672,634,552 and 34,100,152,976 is: 74,194,318,072.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,672,634,552 : 34,100,152,976 = 34,100,152,976 : x
  2. Step 2: Convert to fraction form
    15,672,634,552/34,100,152,976 = 34,100,152,976/x
  3. Step 3: Cross multiply
    15,672,634,552x = 34,100,152,976 × 34,100,152,976
  4. Step 4: Simplify right side
    15,672,634,552x = 1,162,820,432,986,601,684,992
  5. Step 5: Solve for x
    x = 1,162,820,432,986,601,684,992/15,672,634,552
  6. Step 6: Final answer
    x = 74,194,318,072.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.