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Finding the Third Proportional to 37,664,775 and 53,310,325.50

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Solution

The third proportional to 37,664,775 and 53,310,325.50 is: 75,454,872.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,664,775 : 53,310,325.50 = 53,310,325.50 : x
  2. Step 2: Convert to fraction form
    37,664,775/53,310,325.50 = 53,310,325.50/x
  3. Step 3: Cross multiply
    37,664,775x = 53,310,325.50 × 53,310,325.50
  4. Step 4: Simplify right side
    37,664,775x = 2,841,990,804,915,950
  5. Step 5: Solve for x
    x = 2,841,990,804,915,950/37,664,775
  6. Step 6: Final answer
    x = 75,454,872.75

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.