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Finding the Third Proportional to 3,037,344 and 6,416,202

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Solution

The third proportional to 3,037,344 and 6,416,202 is: 13,553,831.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037,344 : 6,416,202 = 6,416,202 : x
  2. Step 2: Convert to fraction form
    3,037,344/6,416,202 = 6,416,202/x
  3. Step 3: Cross multiply
    3,037,344x = 6,416,202 × 6,416,202
  4. Step 4: Simplify right side
    3,037,344x = 41,167,648,104,804
  5. Step 5: Solve for x
    x = 41,167,648,104,804/3,037,344
  6. Step 6: Final answer
    x = 13,553,831.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.