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Finding the Third Proportional to 4,631,410,217 and 7,156,296,669

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Solution

The third proportional to 4,631,410,217 and 7,156,296,669 is: 11,057,664,861.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,631,410,217 : 7,156,296,669 = 7,156,296,669 : x
  2. Step 2: Convert to fraction form
    4,631,410,217/7,156,296,669 = 7,156,296,669/x
  3. Step 3: Cross multiply
    4,631,410,217x = 7,156,296,669 × 7,156,296,669
  4. Step 4: Simplify right side
    4,631,410,217x = 51,212,582,014,740,496,384
  5. Step 5: Solve for x
    x = 51,212,582,014,740,496,384/4,631,410,217
  6. Step 6: Final answer
    x = 11,057,664,861.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.