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Finding the Third Proportional to 3,106,642 and 6,778,077

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Solution

The third proportional to 3,106,642 and 6,778,077 is: 14,788,420.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106,642 : 6,778,077 = 6,778,077 : x
  2. Step 2: Convert to fraction form
    3,106,642/6,778,077 = 6,778,077/x
  3. Step 3: Cross multiply
    3,106,642x = 6,778,077 × 6,778,077
  4. Step 4: Simplify right side
    3,106,642x = 45,942,327,817,929
  5. Step 5: Solve for x
    x = 45,942,327,817,929/3,106,642
  6. Step 6: Final answer
    x = 14,788,420.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.