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Finding the Third Proportional to 235,664,850,278 and 516,955,629,244

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Solution

The third proportional to 235,664,850,278 and 516,955,629,244 is: 1,133,996,530,631.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,664,850,278 : 516,955,629,244 = 516,955,629,244 : x
  2. Step 2: Convert to fraction form
    235,664,850,278/516,955,629,244 = 516,955,629,244/x
  3. Step 3: Cross multiply
    235,664,850,278x = 516,955,629,244 × 516,955,629,244
  4. Step 4: Simplify right side
    235,664,850,278x = 267,243,122,607,059,982,352,384
  5. Step 5: Solve for x
    x = 267,243,122,607,059,982,352,384/235,664,850,278
  6. Step 6: Final answer
    x = 1,133,996,530,631.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.