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Finding the Third Proportional to 9,425,276,049 and 14,056,179,183

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Solution

The third proportional to 9,425,276,049 and 14,056,179,183 is: 20,962,375,234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425,276,049 : 14,056,179,183 = 14,056,179,183 : x
  2. Step 2: Convert to fraction form
    9,425,276,049/14,056,179,183 = 14,056,179,183/x
  3. Step 3: Cross multiply
    9,425,276,049x = 14,056,179,183 × 14,056,179,183
  4. Step 4: Simplify right side
    9,425,276,049x = 197,576,173,224,602,533,888
  5. Step 5: Solve for x
    x = 197,576,173,224,602,533,888/9,425,276,049
  6. Step 6: Final answer
    x = 20,962,375,234.15

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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.