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Finding the Third Proportional to 6,337,095 and 13,684,286

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Solution

The third proportional to 6,337,095 and 13,684,286 is: 29,549,767.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337,095 : 13,684,286 = 13,684,286 : x
  2. Step 2: Convert to fraction form
    6,337,095/13,684,286 = 13,684,286/x
  3. Step 3: Cross multiply
    6,337,095x = 13,684,286 × 13,684,286
  4. Step 4: Simplify right side
    6,337,095x = 187,259,683,329,796
  5. Step 5: Solve for x
    x = 187,259,683,329,796/6,337,095
  6. Step 6: Final answer
    x = 29,549,767.41

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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.