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Finding the Third Proportional to 71,776,686 and 157,448,356

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Solution

The third proportional to 71,776,686 and 157,448,356 is: 345,376,558.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,776,686 : 157,448,356 = 157,448,356 : x
  2. Step 2: Convert to fraction form
    71,776,686/157,448,356 = 157,448,356/x
  3. Step 3: Cross multiply
    71,776,686x = 157,448,356 × 157,448,356
  4. Step 4: Simplify right side
    71,776,686x = 24,789,984,807,102,736
  5. Step 5: Solve for x
    x = 24,789,984,807,102,736/71,776,686
  6. Step 6: Final answer
    x = 345,376,558.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.