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Finding the Third Proportional to 126,442,976,234 and 273,038,769,982

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Solution

The third proportional to 126,442,976,234 and 273,038,769,982 is: 589,595,184,593.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,442,976,234 : 273,038,769,982 = 273,038,769,982 : x
  2. Step 2: Convert to fraction form
    126,442,976,234/273,038,769,982 = 273,038,769,982/x
  3. Step 3: Cross multiply
    126,442,976,234x = 273,038,769,982 × 273,038,769,982
  4. Step 4: Simplify right side
    126,442,976,234x = 74,550,169,913,283,504,504,832
  5. Step 5: Solve for x
    x = 74,550,169,913,283,504,504,832/126,442,976,234
  6. Step 6: Final answer
    x = 589,595,184,593.87

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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.