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Finding the Third Proportional to 3,191,633.91 and 6,831,602.63

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Solution

The third proportional to 3,191,633.91 and 6,831,602.63 is: 14,622,853.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191,633.91 : 6,831,602.63 = 6,831,602.63 : x
  2. Step 2: Convert to fraction form
    3,191,633.91/6,831,602.63 = 6,831,602.63/x
  3. Step 3: Cross multiply
    3,191,633.91x = 6,831,602.63 × 6,831,602.63
  4. Step 4: Simplify right side
    3,191,633.91x = 46,670,794,425,906.89
  5. Step 5: Solve for x
    x = 46,670,794,425,906.89/3,191,633.91
  6. Step 6: Final answer
    x = 14,622,853.31

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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.