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Finding the Third Proportional to 72,727,158,444 and 169,923,457,975

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Solution

The third proportional to 72,727,158,444 and 169,923,457,975 is: 397,017,870,461.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,727,158,444 : 169,923,457,975 = 169,923,457,975 : x
  2. Step 2: Convert to fraction form
    72,727,158,444/169,923,457,975 = 169,923,457,975/x
  3. Step 3: Cross multiply
    72,727,158,444x = 169,923,457,975 × 169,923,457,975
  4. Step 4: Simplify right side
    72,727,158,444x = 28,873,981,570,181,589,106,688
  5. Step 5: Solve for x
    x = 28,873,981,570,181,589,106,688/72,727,158,444
  6. Step 6: Final answer
    x = 397,017,870,461.89

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.