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Finding the Third Proportional to 34,384,290.75 and 51,440,292

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Solution

The third proportional to 34,384,290.75 and 51,440,292 is: 76,956,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,384,290.75 : 51,440,292 = 51,440,292 : x
  2. Step 2: Convert to fraction form
    34,384,290.75/51,440,292 = 51,440,292/x
  3. Step 3: Cross multiply
    34,384,290.75x = 51,440,292 × 51,440,292
  4. Step 4: Simplify right side
    34,384,290.75x = 2,646,103,641,045,264
  5. Step 5: Solve for x
    x = 2,646,103,641,045,264/34,384,290.75
  6. Step 6: Final answer
    x = 76,956,760.87

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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.