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Finding the Third Proportional to 77,075,797 and 104,981,954

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Solution

The third proportional to 77,075,797 and 104,981,954 is: 142,991,848.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,075,797 : 104,981,954 = 104,981,954 : x
  2. Step 2: Convert to fraction form
    77,075,797/104,981,954 = 104,981,954/x
  3. Step 3: Cross multiply
    77,075,797x = 104,981,954 × 104,981,954
  4. Step 4: Simplify right side
    77,075,797x = 11,021,210,665,658,116
  5. Step 5: Solve for x
    x = 11,021,210,665,658,116/77,075,797
  6. Step 6: Final answer
    x = 142,991,848.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.