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Finding the Third Proportional to 5,769,034.50 and 12,609,698.25

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Solution

The third proportional to 5,769,034.50 and 12,609,698.25 is: 27,561,715.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769,034.50 : 12,609,698.25 = 12,609,698.25 : x
  2. Step 2: Convert to fraction form
    5,769,034.50/12,609,698.25 = 12,609,698.25/x
  3. Step 3: Cross multiply
    5,769,034.50x = 12,609,698.25 × 12,609,698.25
  4. Step 4: Simplify right side
    5,769,034.50x = 159,004,489,956,053.06
  5. Step 5: Solve for x
    x = 159,004,489,956,053.06/5,769,034.50
  6. Step 6: Final answer
    x = 27,561,715.91

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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.