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Finding the Third Proportional to 21,704,770 and 47,183,494

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Solution

The third proportional to 21,704,770 and 47,183,494 is: 102,571,098.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,704,770 : 47,183,494 = 47,183,494 : x
  2. Step 2: Convert to fraction form
    21,704,770/47,183,494 = 47,183,494/x
  3. Step 3: Cross multiply
    21,704,770x = 47,183,494 × 47,183,494
  4. Step 4: Simplify right side
    21,704,770x = 2,226,282,106,048,036
  5. Step 5: Solve for x
    x = 2,226,282,106,048,036/21,704,770
  6. Step 6: Final answer
    x = 102,571,098.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.