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Finding the Third Proportional to 77,075,795 and 104,981,952

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Solution

The third proportional to 77,075,795 and 104,981,952 is: 142,991,846.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,075,795 : 104,981,952 = 104,981,952 : x
  2. Step 2: Convert to fraction form
    77,075,795/104,981,952 = 104,981,952/x
  3. Step 3: Cross multiply
    77,075,795x = 104,981,952 × 104,981,952
  4. Step 4: Simplify right side
    77,075,795x = 11,021,210,245,730,304
  5. Step 5: Solve for x
    x = 11,021,210,245,730,304/77,075,795
  6. Step 6: Final answer
    x = 142,991,846.48

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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.