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Finding the Third Proportional to 10,447,161 and 14,795,941

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Solution

The third proportional to 10,447,161 and 14,795,941 is: 20,954,962.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447,161 : 14,795,941 = 14,795,941 : x
  2. Step 2: Convert to fraction form
    10,447,161/14,795,941 = 14,795,941/x
  3. Step 3: Cross multiply
    10,447,161x = 14,795,941 × 14,795,941
  4. Step 4: Simplify right side
    10,447,161x = 218,919,870,075,481
  5. Step 5: Solve for x
    x = 218,919,870,075,481/10,447,161
  6. Step 6: Final answer
    x = 20,954,962.80

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.