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Finding the Third Proportional to 10,448,512 and 15,830,496

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Solution

The third proportional to 10,448,512 and 15,830,496 is: 23,984,717.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448,512 : 15,830,496 = 15,830,496 : x
  2. Step 2: Convert to fraction form
    10,448,512/15,830,496 = 15,830,496/x
  3. Step 3: Cross multiply
    10,448,512x = 15,830,496 × 15,830,496
  4. Step 4: Simplify right side
    10,448,512x = 250,604,603,606,016
  5. Step 5: Solve for x
    x = 250,604,603,606,016/10,448,512
  6. Step 6: Final answer
    x = 23,984,717.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.