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Finding the Third Proportional to 6,434,085 and 14,143,344

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Solution

The third proportional to 6,434,085 and 14,143,344 is: 31,089,763.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434,085 : 14,143,344 = 14,143,344 : x
  2. Step 2: Convert to fraction form
    6,434,085/14,143,344 = 14,143,344/x
  3. Step 3: Cross multiply
    6,434,085x = 14,143,344 × 14,143,344
  4. Step 4: Simplify right side
    6,434,085x = 200,034,179,502,336
  5. Step 5: Solve for x
    x = 200,034,179,502,336/6,434,085
  6. Step 6: Final answer
    x = 31,089,763.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.