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Finding the Third Proportional to 6,292,401 and 9,523,674

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Solution

The third proportional to 6,292,401 and 9,523,674 is: 14,414,269.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292,401 : 9,523,674 = 9,523,674 : x
  2. Step 2: Convert to fraction form
    6,292,401/9,523,674 = 9,523,674/x
  3. Step 3: Cross multiply
    6,292,401x = 9,523,674 × 9,523,674
  4. Step 4: Simplify right side
    6,292,401x = 90,700,366,458,276
  5. Step 5: Solve for x
    x = 90,700,366,458,276/6,292,401
  6. Step 6: Final answer
    x = 14,414,269.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.