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Finding the Third Proportional to 3,457,440 and 7,544,736

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Solution

The third proportional to 3,457,440 and 7,544,736 is: 16,463,927.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457,440 : 7,544,736 = 7,544,736 : x
  2. Step 2: Convert to fraction form
    3,457,440/7,544,736 = 7,544,736/x
  3. Step 3: Cross multiply
    3,457,440x = 7,544,736 × 7,544,736
  4. Step 4: Simplify right side
    3,457,440x = 56,923,041,309,696
  5. Step 5: Solve for x
    x = 56,923,041,309,696/3,457,440
  6. Step 6: Final answer
    x = 16,463,927.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.