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Finding the Third Proportional to 6,458,463 and 10,406,245.50

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Solution

The third proportional to 6,458,463 and 10,406,245.50 is: 16,767,138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458,463 : 10,406,245.50 = 10,406,245.50 : x
  2. Step 2: Convert to fraction form
    6,458,463/10,406,245.50 = 10,406,245.50/x
  3. Step 3: Cross multiply
    6,458,463x = 10,406,245.50 × 10,406,245.50
  4. Step 4: Simplify right side
    6,458,463x = 108,289,945,406,270.25
  5. Step 5: Solve for x
    x = 108,289,945,406,270.25/6,458,463
  6. Step 6: Final answer
    x = 16,767,138.78

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.