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Finding the Third Proportional to 235,664,850,309 and 516,955,629,306

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Solution

The third proportional to 235,664,850,309 and 516,955,629,306 is: 1,133,996,530,754.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,664,850,309 : 516,955,629,306 = 516,955,629,306 : x
  2. Step 2: Convert to fraction form
    235,664,850,309/516,955,629,306 = 516,955,629,306/x
  3. Step 3: Cross multiply
    235,664,850,309x = 516,955,629,306 × 516,955,629,306
  4. Step 4: Simplify right side
    235,664,850,309x = 267,243,122,671,162,469,908,480
  5. Step 5: Solve for x
    x = 267,243,122,671,162,469,908,480/235,664,850,309
  6. Step 6: Final answer
    x = 1,133,996,530,754.41

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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.