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Finding the Third Proportional to 12,297,780 and 17,518,450.50

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Solution

The third proportional to 12,297,780 and 17,518,450.50 is: 24,955,407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297,780 : 17,518,450.50 = 17,518,450.50 : x
  2. Step 2: Convert to fraction form
    12,297,780/17,518,450.50 = 17,518,450.50/x
  3. Step 3: Cross multiply
    12,297,780x = 17,518,450.50 × 17,518,450.50
  4. Step 4: Simplify right side
    12,297,780x = 306,896,107,920,950.25
  5. Step 5: Solve for x
    x = 306,896,107,920,950.25/12,297,780
  6. Step 6: Final answer
    x = 24,955,407.23

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.