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Finding the Third Proportional to 9,432,380 and 20,209,520

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Solution

The third proportional to 9,432,380 and 20,209,520 is: 43,300,280.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432,380 : 20,209,520 = 20,209,520 : x
  2. Step 2: Convert to fraction form
    9,432,380/20,209,520 = 20,209,520/x
  3. Step 3: Cross multiply
    9,432,380x = 20,209,520 × 20,209,520
  4. Step 4: Simplify right side
    9,432,380x = 408,424,698,630,400
  5. Step 5: Solve for x
    x = 408,424,698,630,400/9,432,380
  6. Step 6: Final answer
    x = 43,300,280.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.