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Finding the Third Proportional to 6,307,796 and 9,586,353

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Solution

The third proportional to 6,307,796 and 9,586,353 is: 14,568,981.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307,796 : 9,586,353 = 9,586,353 : x
  2. Step 2: Convert to fraction form
    6,307,796/9,586,353 = 9,586,353/x
  3. Step 3: Cross multiply
    6,307,796x = 9,586,353 × 9,586,353
  4. Step 4: Simplify right side
    6,307,796x = 91,898,163,840,609
  5. Step 5: Solve for x
    x = 91,898,163,840,609/6,307,796
  6. Step 6: Final answer
    x = 14,568,981.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.