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Finding the Third Proportional to 6,449,496 and 9,323,226

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Solution

The third proportional to 6,449,496 and 9,323,226 is: 13,477,416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449,496 : 9,323,226 = 9,323,226 : x
  2. Step 2: Convert to fraction form
    6,449,496/9,323,226 = 9,323,226/x
  3. Step 3: Cross multiply
    6,449,496x = 9,323,226 × 9,323,226
  4. Step 4: Simplify right side
    6,449,496x = 86,922,543,047,076
  5. Step 5: Solve for x
    x = 86,922,543,047,076/6,449,496
  6. Step 6: Final answer
    x = 13,477,416.38

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.