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Finding the Third Proportional to 8,291,574 and 17,941,270.50

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Solution

The third proportional to 8,291,574 and 17,941,270.50 is: 38,821,240.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291,574 : 17,941,270.50 = 17,941,270.50 : x
  2. Step 2: Convert to fraction form
    8,291,574/17,941,270.50 = 17,941,270.50/x
  3. Step 3: Cross multiply
    8,291,574x = 17,941,270.50 × 17,941,270.50
  4. Step 4: Simplify right side
    8,291,574x = 321,889,187,154,170.25
  5. Step 5: Solve for x
    x = 321,889,187,154,170.25/8,291,574
  6. Step 6: Final answer
    x = 38,821,240.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.