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Finding the Third Proportional to 6,308,829 and 9,452,718

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Solution

The third proportional to 6,308,829 and 9,452,718 is: 14,163,306.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308,829 : 9,452,718 = 9,452,718 : x
  2. Step 2: Convert to fraction form
    6,308,829/9,452,718 = 9,452,718/x
  3. Step 3: Cross multiply
    6,308,829x = 9,452,718 × 9,452,718
  4. Step 4: Simplify right side
    6,308,829x = 89,353,877,587,524
  5. Step 5: Solve for x
    x = 89,353,877,587,524/6,308,829
  6. Step 6: Final answer
    x = 14,163,306.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.