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Finding the Third Proportional to 6,494,031 and 14,118,383

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Solution

The third proportional to 6,494,031 and 14,118,383 is: 30,694,146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494,031 : 14,118,383 = 14,118,383 : x
  2. Step 2: Convert to fraction form
    6,494,031/14,118,383 = 14,118,383/x
  3. Step 3: Cross multiply
    6,494,031x = 14,118,383 × 14,118,383
  4. Step 4: Simplify right side
    6,494,031x = 199,328,738,534,689
  5. Step 5: Solve for x
    x = 199,328,738,534,689/6,494,031
  6. Step 6: Final answer
    x = 30,694,146.45

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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.