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Finding the Third Proportional to 13,821,705 and 29,992,830

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Solution

The third proportional to 13,821,705 and 29,992,830 is: 65,083,855.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821,705 : 29,992,830 = 29,992,830 : x
  2. Step 2: Convert to fraction form
    13,821,705/29,992,830 = 29,992,830/x
  3. Step 3: Cross multiply
    13,821,705x = 29,992,830 × 29,992,830
  4. Step 4: Simplify right side
    13,821,705x = 899,569,851,408,900
  5. Step 5: Solve for x
    x = 899,569,851,408,900/13,821,705
  6. Step 6: Final answer
    x = 65,083,855.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.