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Finding the Third Proportional to 7,534,264 and 16,501,744

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Solution

The third proportional to 7,534,264 and 16,501,744 is: 36,142,555.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534,264 : 16,501,744 = 16,501,744 : x
  2. Step 2: Convert to fraction form
    7,534,264/16,501,744 = 16,501,744/x
  3. Step 3: Cross multiply
    7,534,264x = 16,501,744 × 16,501,744
  4. Step 4: Simplify right side
    7,534,264x = 272,307,555,041,536
  5. Step 5: Solve for x
    x = 272,307,555,041,536/7,534,264
  6. Step 6: Final answer
    x = 36,142,555.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.