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Finding the Third Proportional to 538,390,103.25 and 1,168,665,987.75

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Solution

The third proportional to 538,390,103.25 and 1,168,665,987.75 is: 2,536,785,469.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,390,103.25 : 1,168,665,987.75 = 1,168,665,987.75 : x
  2. Step 2: Convert to fraction form
    538,390,103.25/1,168,665,987.75 = 1,168,665,987.75/x
  3. Step 3: Cross multiply
    538,390,103.25x = 1,168,665,987.75 × 1,168,665,987.75
  4. Step 4: Simplify right side
    538,390,103.25x = 1,365,780,190,923,683,072
  5. Step 5: Solve for x
    x = 1,365,780,190,923,683,072/538,390,103.25
  6. Step 6: Final answer
    x = 2,536,785,469.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.