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Finding the Third Proportional to 17,747,574 and 27,262,453.50

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Solution

The third proportional to 17,747,574 and 27,262,453.50 is: 41,878,477.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,747,574 : 27,262,453.50 = 27,262,453.50 : x
  2. Step 2: Convert to fraction form
    17,747,574/27,262,453.50 = 27,262,453.50/x
  3. Step 3: Cross multiply
    17,747,574x = 27,262,453.50 × 27,262,453.50
  4. Step 4: Simplify right side
    17,747,574x = 743,241,370,839,662.25
  5. Step 5: Solve for x
    x = 743,241,370,839,662.25/17,747,574
  6. Step 6: Final answer
    x = 41,878,477.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.