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Finding the Third Proportional to 3,457,234 and 7,468,399

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Solution

The third proportional to 3,457,234 and 7,468,399 is: 16,133,412.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457,234 : 7,468,399 = 7,468,399 : x
  2. Step 2: Convert to fraction form
    3,457,234/7,468,399 = 7,468,399/x
  3. Step 3: Cross multiply
    3,457,234x = 7,468,399 × 7,468,399
  4. Step 4: Simplify right side
    3,457,234x = 55,776,983,623,201
  5. Step 5: Solve for x
    x = 55,776,983,623,201/3,457,234
  6. Step 6: Final answer
    x = 16,133,412.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.