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Finding the Third Proportional to 34,441,820 and 74,362,589

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Solution

The third proportional to 34,441,820 and 74,362,589 is: 160,554,658.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,441,820 : 74,362,589 = 74,362,589 : x
  2. Step 2: Convert to fraction form
    34,441,820/74,362,589 = 74,362,589/x
  3. Step 3: Cross multiply
    34,441,820x = 74,362,589 × 74,362,589
  4. Step 4: Simplify right side
    34,441,820x = 5,529,794,642,782,921
  5. Step 5: Solve for x
    x = 5,529,794,642,782,921/34,441,820
  6. Step 6: Final answer
    x = 160,554,658.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.