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Finding the Third Proportional to 6,763,096 and 13,762,387

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Solution

The third proportional to 6,763,096 and 13,762,387 is: 28,005,412.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763,096 : 13,762,387 = 13,762,387 : x
  2. Step 2: Convert to fraction form
    6,763,096/13,762,387 = 13,762,387/x
  3. Step 3: Cross multiply
    6,763,096x = 13,762,387 × 13,762,387
  4. Step 4: Simplify right side
    6,763,096x = 189,403,295,937,769
  5. Step 5: Solve for x
    x = 189,403,295,937,769/6,763,096
  6. Step 6: Final answer
    x = 28,005,412.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.