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Finding the Third Proportional to 3,169,724 and 6,856,064

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Solution

The third proportional to 3,169,724 and 6,856,064 is: 14,829,560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169,724 : 6,856,064 = 6,856,064 : x
  2. Step 2: Convert to fraction form
    3,169,724/6,856,064 = 6,856,064/x
  3. Step 3: Cross multiply
    3,169,724x = 6,856,064 × 6,856,064
  4. Step 4: Simplify right side
    3,169,724x = 47,005,613,572,096
  5. Step 5: Solve for x
    x = 47,005,613,572,096/3,169,724
  6. Step 6: Final answer
    x = 14,829,560.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.