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Finding the Third Proportional to 72,894,576 and 160,647,387

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Solution

The third proportional to 72,894,576 and 160,647,387 is: 354,039,825.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,894,576 : 160,647,387 = 160,647,387 : x
  2. Step 2: Convert to fraction form
    72,894,576/160,647,387 = 160,647,387/x
  3. Step 3: Cross multiply
    72,894,576x = 160,647,387 × 160,647,387
  4. Step 4: Simplify right side
    72,894,576x = 25,807,582,949,927,768
  5. Step 5: Solve for x
    x = 25,807,582,949,927,768/72,894,576
  6. Step 6: Final answer
    x = 354,039,825.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.