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Finding the Third Proportional to 34,055,024 and 51,032,595

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Solution

The third proportional to 34,055,024 and 51,032,595 is: 76,474,054.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,055,024 : 51,032,595 = 51,032,595 : x
  2. Step 2: Convert to fraction form
    34,055,024/51,032,595 = 51,032,595/x
  3. Step 3: Cross multiply
    34,055,024x = 51,032,595 × 51,032,595
  4. Step 4: Simplify right side
    34,055,024x = 2,604,325,752,434,025
  5. Step 5: Solve for x
    x = 2,604,325,752,434,025/34,055,024
  6. Step 6: Final answer
    x = 76,474,054.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.