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Finding the Third Proportional to 3,134,664 and 6,402,177

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Solution

The third proportional to 3,134,664 and 6,402,177 is: 13,075,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134,664 : 6,402,177 = 6,402,177 : x
  2. Step 2: Convert to fraction form
    3,134,664/6,402,177 = 6,402,177/x
  3. Step 3: Cross multiply
    3,134,664x = 6,402,177 × 6,402,177
  4. Step 4: Simplify right side
    3,134,664x = 40,987,870,339,329
  5. Step 5: Solve for x
    x = 40,987,870,339,329/3,134,664
  6. Step 6: Final answer
    x = 13,075,682.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.