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Finding the Third Proportional to 8,432,436,096 and 18,316,468,608

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Solution

The third proportional to 8,432,436,096 and 18,316,468,608 is: 39,786,014,201.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432,436,096 : 18,316,468,608 = 18,316,468,608 : x
  2. Step 2: Convert to fraction form
    8,432,436,096/18,316,468,608 = 18,316,468,608/x
  3. Step 3: Cross multiply
    8,432,436,096x = 18,316,468,608 × 18,316,468,608
  4. Step 4: Simplify right side
    8,432,436,096x = 335,493,022,267,849,441,280
  5. Step 5: Solve for x
    x = 335,493,022,267,849,441,280/8,432,436,096
  6. Step 6: Final answer
    x = 39,786,014,201.40

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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.