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Finding the Third Proportional to 9,416,048 and 13,327,362

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Solution

The third proportional to 9,416,048 and 13,327,362 is: 18,863,389.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416,048 : 13,327,362 = 13,327,362 : x
  2. Step 2: Convert to fraction form
    9,416,048/13,327,362 = 13,327,362/x
  3. Step 3: Cross multiply
    9,416,048x = 13,327,362 × 13,327,362
  4. Step 4: Simplify right side
    9,416,048x = 177,618,577,879,044
  5. Step 5: Solve for x
    x = 177,618,577,879,044/9,416,048
  6. Step 6: Final answer
    x = 18,863,389.17

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.