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Finding the Third Proportional to 20,037,029 and 30,437,855.50

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Solution

The third proportional to 20,037,029 and 30,437,855.50 is: 46,237,545.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,037,029 : 30,437,855.50 = 30,437,855.50 : x
  2. Step 2: Convert to fraction form
    20,037,029/30,437,855.50 = 30,437,855.50/x
  3. Step 3: Cross multiply
    20,037,029x = 30,437,855.50 × 30,437,855.50
  4. Step 4: Simplify right side
    20,037,029x = 926,463,047,438,880.25
  5. Step 5: Solve for x
    x = 926,463,047,438,880.25/20,037,029
  6. Step 6: Final answer
    x = 46,237,545.87

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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.