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Finding the Third Proportional to 72,727,160,160 and 169,923,462,132

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Solution

The third proportional to 72,727,160,160 and 169,923,462,132 is: 397,017,880,519.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,727,160,160 : 169,923,462,132 = 169,923,462,132 : x
  2. Step 2: Convert to fraction form
    72,727,160,160/169,923,462,132 = 169,923,462,132/x
  3. Step 3: Cross multiply
    72,727,160,160x = 169,923,462,132 × 169,923,462,132
  4. Step 4: Simplify right side
    72,727,160,160x = 28,873,982,982,925,236,305,920
  5. Step 5: Solve for x
    x = 28,873,982,982,925,236,305,920/72,727,160,160
  6. Step 6: Final answer
    x = 397,017,880,519.50

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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.