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Finding the Third Proportional to 13,706,590.50 and 20,562,619.50

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Solution

The third proportional to 13,706,590.50 and 20,562,619.50 is: 30,848,030.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706,590.50 : 20,562,619.50 = 20,562,619.50 : x
  2. Step 2: Convert to fraction form
    13,706,590.50/20,562,619.50 = 20,562,619.50/x
  3. Step 3: Cross multiply
    13,706,590.50x = 20,562,619.50 × 20,562,619.50
  4. Step 4: Simplify right side
    13,706,590.50x = 422,821,320,701,780.25
  5. Step 5: Solve for x
    x = 422,821,320,701,780.25/13,706,590.50
  6. Step 6: Final answer
    x = 30,848,030.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.