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Finding the Third Proportional to 6,850,574 and 14,267,905

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Solution

The third proportional to 6,850,574 and 14,267,905 is: 29,716,212.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850,574 : 14,267,905 = 14,267,905 : x
  2. Step 2: Convert to fraction form
    6,850,574/14,267,905 = 14,267,905/x
  3. Step 3: Cross multiply
    6,850,574x = 14,267,905 × 14,267,905
  4. Step 4: Simplify right side
    6,850,574x = 203,573,113,089,025
  5. Step 5: Solve for x
    x = 203,573,113,089,025/6,850,574
  6. Step 6: Final answer
    x = 29,716,212.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.