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Finding the Third Proportional to 7,980,376 and 12,382,220

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Solution

The third proportional to 7,980,376 and 12,382,220 is: 19,212,048.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980,376 : 12,382,220 = 12,382,220 : x
  2. Step 2: Convert to fraction form
    7,980,376/12,382,220 = 12,382,220/x
  3. Step 3: Cross multiply
    7,980,376x = 12,382,220 × 12,382,220
  4. Step 4: Simplify right side
    7,980,376x = 153,319,372,128,400
  5. Step 5: Solve for x
    x = 153,319,372,128,400/7,980,376
  6. Step 6: Final answer
    x = 19,212,048.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.