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Finding the Third Proportional to 34,055,019 and 51,032,587.50

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Solution

The third proportional to 34,055,019 and 51,032,587.50 is: 76,474,042.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,055,019 : 51,032,587.50 = 51,032,587.50 : x
  2. Step 2: Convert to fraction form
    34,055,019/51,032,587.50 = 51,032,587.50/x
  3. Step 3: Cross multiply
    34,055,019x = 51,032,587.50 × 51,032,587.50
  4. Step 4: Simplify right side
    34,055,019x = 2,604,324,986,945,156
  5. Step 5: Solve for x
    x = 2,604,324,986,945,156/34,055,019
  6. Step 6: Final answer
    x = 76,474,042.99

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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.