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Finding the Third Proportional to 6,679,477 and 14,588,731

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Solution

The third proportional to 6,679,477 and 14,588,731 is: 31,863,433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,679,477 : 14,588,731 = 14,588,731 : x
  2. Step 2: Convert to fraction form
    6,679,477/14,588,731 = 14,588,731/x
  3. Step 3: Cross multiply
    6,679,477x = 14,588,731 × 14,588,731
  4. Step 4: Simplify right side
    6,679,477x = 212,831,072,190,361
  5. Step 5: Solve for x
    x = 212,831,072,190,361/6,679,477
  6. Step 6: Final answer
    x = 31,863,433.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.