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Finding the Third Proportional to 269,404,062 and 581,918,268

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Solution

The third proportional to 269,404,062 and 581,918,268 is: 1,256,955,326.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,404,062 : 581,918,268 = 581,918,268 : x
  2. Step 2: Convert to fraction form
    269,404,062/581,918,268 = 581,918,268/x
  3. Step 3: Cross multiply
    269,404,062x = 581,918,268 × 581,918,268
  4. Step 4: Simplify right side
    269,404,062x = 338,628,870,632,119,808
  5. Step 5: Solve for x
    x = 338,628,870,632,119,808/269,404,062
  6. Step 6: Final answer
    x = 1,256,955,326.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.