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Finding the Third Proportional to 2,245,851 and 4,870,039.50

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Solution

The third proportional to 2,245,851 and 4,870,039.50 is: 10,560,488.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245,851 : 4,870,039.50 = 4,870,039.50 : x
  2. Step 2: Convert to fraction form
    2,245,851/4,870,039.50 = 4,870,039.50/x
  3. Step 3: Cross multiply
    2,245,851x = 4,870,039.50 × 4,870,039.50
  4. Step 4: Simplify right side
    2,245,851x = 23,717,284,731,560.25
  5. Step 5: Solve for x
    x = 23,717,284,731,560.25/2,245,851
  6. Step 6: Final answer
    x = 10,560,488.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.