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Finding the Third Proportional to 6,380,472 and 13,762,752

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Solution

The third proportional to 6,380,472 and 13,762,752 is: 29,686,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380,472 : 13,762,752 = 13,762,752 : x
  2. Step 2: Convert to fraction form
    6,380,472/13,762,752 = 13,762,752/x
  3. Step 3: Cross multiply
    6,380,472x = 13,762,752 × 13,762,752
  4. Step 4: Simplify right side
    6,380,472x = 189,413,342,613,504
  5. Step 5: Solve for x
    x = 189,413,342,613,504/6,380,472
  6. Step 6: Final answer
    x = 29,686,415.46

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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.