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Finding the Third Proportional to 6,380,434 and 13,762,676

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Solution

The third proportional to 6,380,434 and 13,762,676 is: 29,686,264.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380,434 : 13,762,676 = 13,762,676 : x
  2. Step 2: Convert to fraction form
    6,380,434/13,762,676 = 13,762,676/x
  3. Step 3: Cross multiply
    6,380,434x = 13,762,676 × 13,762,676
  4. Step 4: Simplify right side
    6,380,434x = 189,411,250,680,976
  5. Step 5: Solve for x
    x = 189,411,250,680,976/6,380,434
  6. Step 6: Final answer
    x = 29,686,264.40

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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.