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Finding the Third Proportional to 6,449,502 and 9,323,235

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Solution

The third proportional to 6,449,502 and 9,323,235 is: 13,477,429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449,502 : 9,323,235 = 9,323,235 : x
  2. Step 2: Convert to fraction form
    6,449,502/9,323,235 = 9,323,235/x
  3. Step 3: Cross multiply
    6,449,502x = 9,323,235 × 9,323,235
  4. Step 4: Simplify right side
    6,449,502x = 86,922,710,865,225
  5. Step 5: Solve for x
    x = 86,922,710,865,225/6,449,502
  6. Step 6: Final answer
    x = 13,477,429.86

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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.