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Finding the Third Proportional to 538,389,773 and 1,168,665,325

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Solution

The third proportional to 538,389,773 and 1,168,665,325 is: 2,536,784,148.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,389,773 : 1,168,665,325 = 1,168,665,325 : x
  2. Step 2: Convert to fraction form
    538,389,773/1,168,665,325 = 1,168,665,325/x
  3. Step 3: Cross multiply
    538,389,773x = 1,168,665,325 × 1,168,665,325
  4. Step 4: Simplify right side
    538,389,773x = 1,365,778,641,857,355,520
  5. Step 5: Solve for x
    x = 1,365,778,641,857,355,520/538,389,773
  6. Step 6: Final answer
    x = 2,536,784,148.49

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