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Finding the Third Proportional to 3,431,958 and 7,461,103.50

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Solution

The third proportional to 3,431,958 and 7,461,103.50 is: 16,220,497.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431,958 : 7,461,103.50 = 7,461,103.50 : x
  2. Step 2: Convert to fraction form
    3,431,958/7,461,103.50 = 7,461,103.50/x
  3. Step 3: Cross multiply
    3,431,958x = 7,461,103.50 × 7,461,103.50
  4. Step 4: Simplify right side
    3,431,958x = 55,668,065,437,712.25
  5. Step 5: Solve for x
    x = 55,668,065,437,712.25/3,431,958
  6. Step 6: Final answer
    x = 16,220,497.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.