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Finding the Third Proportional to 6,343,484 and 10,213,977

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Solution

The third proportional to 6,343,484 and 10,213,977 is: 16,446,061.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343,484 : 10,213,977 = 10,213,977 : x
  2. Step 2: Convert to fraction form
    6,343,484/10,213,977 = 10,213,977/x
  3. Step 3: Cross multiply
    6,343,484x = 10,213,977 × 10,213,977
  4. Step 4: Simplify right side
    6,343,484x = 104,325,326,156,529
  5. Step 5: Solve for x
    x = 104,325,326,156,529/6,343,484
  6. Step 6: Final answer
    x = 16,446,061.21

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.