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Finding the Third Proportional to 6,005,650 and 9,307,104

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Solution

The third proportional to 6,005,650 and 9,307,104 is: 14,423,448.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005,650 : 9,307,104 = 9,307,104 : x
  2. Step 2: Convert to fraction form
    6,005,650/9,307,104 = 9,307,104/x
  3. Step 3: Cross multiply
    6,005,650x = 9,307,104 × 9,307,104
  4. Step 4: Simplify right side
    6,005,650x = 86,622,184,866,816
  5. Step 5: Solve for x
    x = 86,622,184,866,816/6,005,650
  6. Step 6: Final answer
    x = 14,423,448.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.