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Finding the Third Proportional to 9,425,275,998 and 14,056,179,109

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Solution

The third proportional to 9,425,275,998 and 14,056,179,109 is: 20,962,375,126.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425,275,998 : 14,056,179,109 = 14,056,179,109 : x
  2. Step 2: Convert to fraction form
    9,425,275,998/14,056,179,109 = 14,056,179,109/x
  3. Step 3: Cross multiply
    9,425,275,998x = 14,056,179,109 × 14,056,179,109
  4. Step 4: Simplify right side
    9,425,275,998x = 197,576,171,144,288,043,008
  5. Step 5: Solve for x
    x = 197,576,171,144,288,043,008/9,425,275,998
  6. Step 6: Final answer
    x = 20,962,375,126.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.