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Finding the Third Proportional to 3,144,040 and 6,736,712

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Solution

The third proportional to 3,144,040 and 6,736,712 is: 14,434,704.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144,040 : 6,736,712 = 6,736,712 : x
  2. Step 2: Convert to fraction form
    3,144,040/6,736,712 = 6,736,712/x
  3. Step 3: Cross multiply
    3,144,040x = 6,736,712 × 6,736,712
  4. Step 4: Simplify right side
    3,144,040x = 45,383,288,570,944
  5. Step 5: Solve for x
    x = 45,383,288,570,944/3,144,040
  6. Step 6: Final answer
    x = 14,434,704.57

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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.