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Finding the Third Proportional to 2,556,814.50 and 5,681,169

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Solution

The third proportional to 2,556,814.50 and 5,681,169 is: 12,623,395.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556,814.50 : 5,681,169 = 5,681,169 : x
  2. Step 2: Convert to fraction form
    2,556,814.50/5,681,169 = 5,681,169/x
  3. Step 3: Cross multiply
    2,556,814.50x = 5,681,169 × 5,681,169
  4. Step 4: Simplify right side
    2,556,814.50x = 32,275,681,206,561
  5. Step 5: Solve for x
    x = 32,275,681,206,561/2,556,814.50
  6. Step 6: Final answer
    x = 12,623,395.72

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.