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Finding the Third Proportional to 6,346,116 and 9,667,970.50

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Solution

The third proportional to 6,346,116 and 9,667,970.50 is: 14,728,639.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346,116 : 9,667,970.50 = 9,667,970.50 : x
  2. Step 2: Convert to fraction form
    6,346,116/9,667,970.50 = 9,667,970.50/x
  3. Step 3: Cross multiply
    6,346,116x = 9,667,970.50 × 9,667,970.50
  4. Step 4: Simplify right side
    6,346,116x = 93,469,653,588,870.25
  5. Step 5: Solve for x
    x = 93,469,653,588,870.25/6,346,116
  6. Step 6: Final answer
    x = 14,728,639.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.