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Finding the Third Proportional to 3,457,238 and 7,468,407

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Solution

The third proportional to 3,457,238 and 7,468,407 is: 16,133,428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457,238 : 7,468,407 = 7,468,407 : x
  2. Step 2: Convert to fraction form
    3,457,238/7,468,407 = 7,468,407/x
  3. Step 3: Cross multiply
    3,457,238x = 7,468,407 × 7,468,407
  4. Step 4: Simplify right side
    3,457,238x = 55,777,103,117,649
  5. Step 5: Solve for x
    x = 55,777,103,117,649/3,457,238
  6. Step 6: Final answer
    x = 16,133,428.80

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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.