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Finding the Third Proportional to 7,860,706.50 and 17,105,370

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Solution

The third proportional to 7,860,706.50 and 17,105,370 is: 37,222,313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860,706.50 : 17,105,370 = 17,105,370 : x
  2. Step 2: Convert to fraction form
    7,860,706.50/17,105,370 = 17,105,370/x
  3. Step 3: Cross multiply
    7,860,706.50x = 17,105,370 × 17,105,370
  4. Step 4: Simplify right side
    7,860,706.50x = 292,593,682,836,900
  5. Step 5: Solve for x
    x = 292,593,682,836,900/7,860,706.50
  6. Step 6: Final answer
    x = 37,222,313.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.