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Finding the Third Proportional to 10,709,299.50 and 16,314,969

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Solution

The third proportional to 10,709,299.50 and 16,314,969 is: 24,854,866.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709,299.50 : 16,314,969 = 16,314,969 : x
  2. Step 2: Convert to fraction form
    10,709,299.50/16,314,969 = 16,314,969/x
  3. Step 3: Cross multiply
    10,709,299.50x = 16,314,969 × 16,314,969
  4. Step 4: Simplify right side
    10,709,299.50x = 266,178,213,470,961
  5. Step 5: Solve for x
    x = 266,178,213,470,961/10,709,299.50
  6. Step 6: Final answer
    x = 24,854,866.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.