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Finding the Third Proportional to 538,389,777 and 1,168,665,333

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Solution

The third proportional to 538,389,777 and 1,168,665,333 is: 2,536,784,164.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,389,777 : 1,168,665,333 = 1,168,665,333 : x
  2. Step 2: Convert to fraction form
    538,389,777/1,168,665,333 = 1,168,665,333/x
  3. Step 3: Cross multiply
    538,389,777x = 1,168,665,333 × 1,168,665,333
  4. Step 4: Simplify right side
    538,389,777x = 1,365,778,660,556,000,768
  5. Step 5: Solve for x
    x = 1,365,778,660,556,000,768/538,389,777
  6. Step 6: Final answer
    x = 2,536,784,164.38

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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.