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Finding the Third Proportional to 5,431,198.50 and 11,308,842

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Solution

The third proportional to 5,431,198.50 and 11,308,842 is: 23,547,271.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431,198.50 : 11,308,842 = 11,308,842 : x
  2. Step 2: Convert to fraction form
    5,431,198.50/11,308,842 = 11,308,842/x
  3. Step 3: Cross multiply
    5,431,198.50x = 11,308,842 × 11,308,842
  4. Step 4: Simplify right side
    5,431,198.50x = 127,889,907,380,964
  5. Step 5: Solve for x
    x = 127,889,907,380,964/5,431,198.50
  6. Step 6: Final answer
    x = 23,547,271.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.