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Finding the Third Proportional to 48,350,410,461 and 104,047,461,306

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Solution

The third proportional to 48,350,410,461 and 104,047,461,306 is: 223,904,494,315.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,350,410,461 : 104,047,461,306 = 104,047,461,306 : x
  2. Step 2: Convert to fraction form
    48,350,410,461/104,047,461,306 = 104,047,461,306/x
  3. Step 3: Cross multiply
    48,350,410,461x = 104,047,461,306 × 104,047,461,306
  4. Step 4: Simplify right side
    48,350,410,461x = 10,825,874,204,223,567,036,416
  5. Step 5: Solve for x
    x = 10,825,874,204,223,567,036,416/48,350,410,461
  6. Step 6: Final answer
    x = 223,904,494,315.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.