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Finding the Third Proportional to 4,075,846 and 8,637,212

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Solution

The third proportional to 4,075,846 and 8,637,212 is: 18,303,299.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075,846 : 8,637,212 = 8,637,212 : x
  2. Step 2: Convert to fraction form
    4,075,846/8,637,212 = 8,637,212/x
  3. Step 3: Cross multiply
    4,075,846x = 8,637,212 × 8,637,212
  4. Step 4: Simplify right side
    4,075,846x = 74,601,431,132,944
  5. Step 5: Solve for x
    x = 74,601,431,132,944/4,075,846
  6. Step 6: Final answer
    x = 18,303,299.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.