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Finding the Third Proportional to 5,199,804 and 11,594,534

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Solution

The third proportional to 5,199,804 and 11,594,534 is: 25,853,516.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199,804 : 11,594,534 = 11,594,534 : x
  2. Step 2: Convert to fraction form
    5,199,804/11,594,534 = 11,594,534/x
  3. Step 3: Cross multiply
    5,199,804x = 11,594,534 × 11,594,534
  4. Step 4: Simplify right side
    5,199,804x = 134,433,218,677,156
  5. Step 5: Solve for x
    x = 134,433,218,677,156/5,199,804
  6. Step 6: Final answer
    x = 25,853,516.53

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.