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Finding the Third Proportional to 538,389,765 and 1,168,665,309

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Solution

The third proportional to 538,389,765 and 1,168,665,309 is: 2,536,784,116.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,389,765 : 1,168,665,309 = 1,168,665,309 : x
  2. Step 2: Convert to fraction form
    538,389,765/1,168,665,309 = 1,168,665,309/x
  3. Step 3: Cross multiply
    538,389,765x = 1,168,665,309 × 1,168,665,309
  4. Step 4: Simplify right side
    538,389,765x = 1,365,778,604,460,065,536
  5. Step 5: Solve for x
    x = 1,365,778,604,460,065,536/538,389,765
  6. Step 6: Final answer
    x = 2,536,784,116.73

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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.