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Finding the Third Proportional to 6,470,321.25 and 10,149,145.88

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Solution

The third proportional to 6,470,321.25 and 10,149,145.88 is: 15,919,636.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470,321.25 : 10,149,145.88 = 10,149,145.88 : x
  2. Step 2: Convert to fraction form
    6,470,321.25/10,149,145.88 = 10,149,145.88/x
  3. Step 3: Cross multiply
    6,470,321.25x = 10,149,145.88 × 10,149,145.88
  4. Step 4: Simplify right side
    6,470,321.25x = 103,005,161,992,029.52
  5. Step 5: Solve for x
    x = 103,005,161,992,029.52/6,470,321.25
  6. Step 6: Final answer
    x = 15,919,636.45

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.