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Finding the Third Proportional to 259,817,646 and 538,052,016

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Solution

The third proportional to 259,817,646 and 538,052,016 is: 1,114,242,917.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,817,646 : 538,052,016 = 538,052,016 : x
  2. Step 2: Convert to fraction form
    259,817,646/538,052,016 = 538,052,016/x
  3. Step 3: Cross multiply
    259,817,646x = 538,052,016 × 538,052,016
  4. Step 4: Simplify right side
    259,817,646x = 289,499,971,921,664,256
  5. Step 5: Solve for x
    x = 289,499,971,921,664,256/259,817,646
  6. Step 6: Final answer
    x = 1,114,242,917.59

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.