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Finding the Third Proportional to 269,404,072 and 581,918,288

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Solution

The third proportional to 269,404,072 and 581,918,288 is: 1,256,955,365.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,404,072 : 581,918,288 = 581,918,288 : x
  2. Step 2: Convert to fraction form
    269,404,072/581,918,288 = 581,918,288/x
  3. Step 3: Cross multiply
    269,404,072x = 581,918,288 × 581,918,288
  4. Step 4: Simplify right side
    269,404,072x = 338,628,893,908,850,944
  5. Step 5: Solve for x
    x = 338,628,893,908,850,944/269,404,072
  6. Step 6: Final answer
    x = 1,256,955,365.95

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Why These Related Problems?

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