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Finding the Third Proportional to 3,810,439,010 and 8,204,737,036

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Solution

The third proportional to 3,810,439,010 and 8,204,737,036 is: 17,666,654,591.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810,439,010 : 8,204,737,036 = 8,204,737,036 : x
  2. Step 2: Convert to fraction form
    3,810,439,010/8,204,737,036 = 8,204,737,036/x
  3. Step 3: Cross multiply
    3,810,439,010x = 8,204,737,036 × 8,204,737,036
  4. Step 4: Simplify right side
    3,810,439,010x = 67,317,709,829,910,069,248
  5. Step 5: Solve for x
    x = 67,317,709,829,910,069,248/3,810,439,010
  6. Step 6: Final answer
    x = 17,666,654,591.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.