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Finding the Third Proportional to 6,371,102 and 13,756,477

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Solution

The third proportional to 6,371,102 and 13,756,477 is: 29,702,971.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371,102 : 13,756,477 = 13,756,477 : x
  2. Step 2: Convert to fraction form
    6,371,102/13,756,477 = 13,756,477/x
  3. Step 3: Cross multiply
    6,371,102x = 13,756,477 × 13,756,477
  4. Step 4: Simplify right side
    6,371,102x = 189,240,659,451,529
  5. Step 5: Solve for x
    x = 189,240,659,451,529/6,371,102
  6. Step 6: Final answer
    x = 29,702,971.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.