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Finding the Third Proportional to 126,442,976,232 and 273,038,769,978

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Solution

The third proportional to 126,442,976,232 and 273,038,769,978 is: 589,595,184,585.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,442,976,232 : 273,038,769,978 = 273,038,769,978 : x
  2. Step 2: Convert to fraction form
    126,442,976,232/273,038,769,978 = 273,038,769,978/x
  3. Step 3: Cross multiply
    126,442,976,232x = 273,038,769,978 × 273,038,769,978
  4. Step 4: Simplify right side
    126,442,976,232x = 74,550,169,911,099,194,867,712
  5. Step 5: Solve for x
    x = 74,550,169,911,099,194,867,712/126,442,976,232
  6. Step 6: Final answer
    x = 589,595,184,585.92

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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.