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Finding the Third Proportional to 6,449,483 and 9,323,211

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Solution

The third proportional to 6,449,483 and 9,323,211 is: 13,477,400.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449,483 : 9,323,211 = 9,323,211 : x
  2. Step 2: Convert to fraction form
    6,449,483/9,323,211 = 9,323,211/x
  3. Step 3: Cross multiply
    6,449,483x = 9,323,211 × 9,323,211
  4. Step 4: Simplify right side
    6,449,483x = 86,922,263,350,521
  5. Step 5: Solve for x
    x = 86,922,263,350,521/6,449,483
  6. Step 6: Final answer
    x = 13,477,400.18

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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.