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Finding the Third Proportional to 74,346,686 and 104,511,664

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Solution

The third proportional to 74,346,686 and 104,511,664 is: 146,915,599.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,346,686 : 104,511,664 = 104,511,664 : x
  2. Step 2: Convert to fraction form
    74,346,686/104,511,664 = 104,511,664/x
  3. Step 3: Cross multiply
    74,346,686x = 104,511,664 × 104,511,664
  4. Step 4: Simplify right side
    74,346,686x = 10,922,687,912,048,896
  5. Step 5: Solve for x
    x = 10,922,687,912,048,896/74,346,686
  6. Step 6: Final answer
    x = 146,915,599.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.