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Finding the Third Proportional to 8,435,273,714 and 18,140,027,116

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Solution

The third proportional to 8,435,273,714 and 18,140,027,116 is: 39,010,065,935.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435,273,714 : 18,140,027,116 = 18,140,027,116 : x
  2. Step 2: Convert to fraction form
    8,435,273,714/18,140,027,116 = 18,140,027,116/x
  3. Step 3: Cross multiply
    8,435,273,714x = 18,140,027,116 × 18,140,027,116
  4. Step 4: Simplify right side
    8,435,273,714x = 329,060,583,769,215,270,912
  5. Step 5: Solve for x
    x = 329,060,583,769,215,270,912/8,435,273,714
  6. Step 6: Final answer
    x = 39,010,065,935.75

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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.