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Finding the Third Proportional to 34,055,025 and 51,032,596.50

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Solution

The third proportional to 34,055,025 and 51,032,596.50 is: 76,474,056.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,055,025 : 51,032,596.50 = 51,032,596.50 : x
  2. Step 2: Convert to fraction form
    34,055,025/51,032,596.50 = 51,032,596.50/x
  3. Step 3: Cross multiply
    34,055,025x = 51,032,596.50 × 51,032,596.50
  4. Step 4: Simplify right side
    34,055,025x = 2,604,325,905,531,812
  5. Step 5: Solve for x
    x = 2,604,325,905,531,812/34,055,025
  6. Step 6: Final answer
    x = 76,474,056.49

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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.