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Finding the Third Proportional to 19,037,709 and 29,002,711.50

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Solution

The third proportional to 19,037,709 and 29,002,711.50 is: 44,183,744.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,037,709 : 29,002,711.50 = 29,002,711.50 : x
  2. Step 2: Convert to fraction form
    19,037,709/29,002,711.50 = 29,002,711.50/x
  3. Step 3: Cross multiply
    19,037,709x = 29,002,711.50 × 29,002,711.50
  4. Step 4: Simplify right side
    19,037,709x = 841,157,274,352,232.25
  5. Step 5: Solve for x
    x = 841,157,274,352,232.25/19,037,709
  6. Step 6: Final answer
    x = 44,183,744.71

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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.