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Finding the Third Proportional to 6,587,476 and 14,274,425

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Solution

The third proportional to 6,587,476 and 14,274,425 is: 30,931,301.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587,476 : 14,274,425 = 14,274,425 : x
  2. Step 2: Convert to fraction form
    6,587,476/14,274,425 = 14,274,425/x
  3. Step 3: Cross multiply
    6,587,476x = 14,274,425 × 14,274,425
  4. Step 4: Simplify right side
    6,587,476x = 203,759,209,080,625
  5. Step 5: Solve for x
    x = 203,759,209,080,625/6,587,476
  6. Step 6: Final answer
    x = 30,931,301.93

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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.