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Finding the Third Proportional to 4,102,992 and 9,497,685

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Solution

The third proportional to 4,102,992 and 9,497,685 is: 21,985,424.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102,992 : 9,497,685 = 9,497,685 : x
  2. Step 2: Convert to fraction form
    4,102,992/9,497,685 = 9,497,685/x
  3. Step 3: Cross multiply
    4,102,992x = 9,497,685 × 9,497,685
  4. Step 4: Simplify right side
    4,102,992x = 90,206,020,359,225
  5. Step 5: Solve for x
    x = 90,206,020,359,225/4,102,992
  6. Step 6: Final answer
    x = 21,985,424.38

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.