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Finding the Third Proportional to 4,172,242,689 and 8,841,914,154

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Solution

The third proportional to 4,172,242,689 and 8,841,914,154 is: 18,737,990,988.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172,242,689 : 8,841,914,154 = 8,841,914,154 : x
  2. Step 2: Convert to fraction form
    4,172,242,689/8,841,914,154 = 8,841,914,154/x
  3. Step 3: Cross multiply
    4,172,242,689x = 8,841,914,154 × 8,841,914,154
  4. Step 4: Simplify right side
    4,172,242,689x = 78,179,445,906,705,530,880
  5. Step 5: Solve for x
    x = 78,179,445,906,705,530,880/4,172,242,689
  6. Step 6: Final answer
    x = 18,737,990,988.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.