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Finding the Third Proportional to 6,184,944 and 9,362,970

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Solution

The third proportional to 6,184,944 and 9,362,970 is: 14,173,969.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184,944 : 9,362,970 = 9,362,970 : x
  2. Step 2: Convert to fraction form
    6,184,944/9,362,970 = 9,362,970/x
  3. Step 3: Cross multiply
    6,184,944x = 9,362,970 × 9,362,970
  4. Step 4: Simplify right side
    6,184,944x = 87,665,207,220,900
  5. Step 5: Solve for x
    x = 87,665,207,220,900/6,184,944
  6. Step 6: Final answer
    x = 14,173,969.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.