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Finding the Third Proportional to 6,292,403 and 9,523,677

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Solution

The third proportional to 6,292,403 and 9,523,677 is: 14,414,274.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292,403 : 9,523,677 = 9,523,677 : x
  2. Step 2: Convert to fraction form
    6,292,403/9,523,677 = 9,523,677/x
  3. Step 3: Cross multiply
    6,292,403x = 9,523,677 × 9,523,677
  4. Step 4: Simplify right side
    6,292,403x = 90,700,423,600,329
  5. Step 5: Solve for x
    x = 90,700,423,600,329/6,292,403
  6. Step 6: Final answer
    x = 14,414,274.42

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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.