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Finding the Third Proportional to 71,776,449 and 157,448,970

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Solution

The third proportional to 71,776,449 and 157,448,970 is: 345,380,392.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,776,449 : 157,448,970 = 157,448,970 : x
  2. Step 2: Convert to fraction form
    71,776,449/157,448,970 = 157,448,970/x
  3. Step 3: Cross multiply
    71,776,449x = 157,448,970 × 157,448,970
  4. Step 4: Simplify right side
    71,776,449x = 24,790,178,154,060,900
  5. Step 5: Solve for x
    x = 24,790,178,154,060,900/71,776,449
  6. Step 6: Final answer
    x = 345,380,392.86

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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.