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Finding the Third Proportional to 242,534,016 and 372,796,152

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Solution

The third proportional to 242,534,016 and 372,796,152 is: 573,020,532.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,534,016 : 372,796,152 = 372,796,152 : x
  2. Step 2: Convert to fraction form
    242,534,016/372,796,152 = 372,796,152/x
  3. Step 3: Cross multiply
    242,534,016x = 372,796,152 × 372,796,152
  4. Step 4: Simplify right side
    242,534,016x = 138,976,970,946,007,104
  5. Step 5: Solve for x
    x = 138,976,970,946,007,104/242,534,016
  6. Step 6: Final answer
    x = 573,020,532.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.