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Finding the Third Proportional to 21,618,605.50 and 47,226,299.50

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Solution

The third proportional to 21,618,605.50 and 47,226,299.50 is: 103,166,846.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,618,605.50 : 47,226,299.50 = 47,226,299.50 : x
  2. Step 2: Convert to fraction form
    21,618,605.50/47,226,299.50 = 47,226,299.50/x
  3. Step 3: Cross multiply
    21,618,605.50x = 47,226,299.50 × 47,226,299.50
  4. Step 4: Simplify right side
    21,618,605.50x = 2,230,323,364,463,700.25
  5. Step 5: Solve for x
    x = 2,230,323,364,463,700.25/21,618,605.50
  6. Step 6: Final answer
    x = 103,166,846.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.