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Finding the Third Proportional to 12,641,771.25 and 27,744,206.06

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Solution

The third proportional to 12,641,771.25 and 27,744,206.06 is: 60,888,696.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641,771.25 : 27,744,206.06 = 27,744,206.06 : x
  2. Step 2: Convert to fraction form
    12,641,771.25/27,744,206.06 = 27,744,206.06/x
  3. Step 3: Cross multiply
    12,641,771.25x = 27,744,206.06 × 27,744,206.06
  4. Step 4: Simplify right side
    12,641,771.25x = 769,740,970,038,461.75
  5. Step 5: Solve for x
    x = 769,740,970,038,461.75/12,641,771.25
  6. Step 6: Final answer
    x = 60,888,696.28

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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.