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Finding the Third Proportional to 538,389,786 and 1,168,665,366

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Solution

The third proportional to 538,389,786 and 1,168,665,366 is: 2,536,784,265.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,389,786 : 1,168,665,366 = 1,168,665,366 : x
  2. Step 2: Convert to fraction form
    538,389,786/1,168,665,366 = 1,168,665,366/x
  3. Step 3: Cross multiply
    538,389,786x = 1,168,665,366 × 1,168,665,366
  4. Step 4: Simplify right side
    538,389,786x = 1,365,778,737,687,913,984
  5. Step 5: Solve for x
    x = 1,365,778,737,687,913,984/538,389,786
  6. Step 6: Final answer
    x = 2,536,784,265.23

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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.