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Finding the Third Proportional to 6,046,857 and 9,166,261.50

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Solution

The third proportional to 6,046,857 and 9,166,261.50 is: 13,894,879.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046,857 : 9,166,261.50 = 9,166,261.50 : x
  2. Step 2: Convert to fraction form
    6,046,857/9,166,261.50 = 9,166,261.50/x
  3. Step 3: Cross multiply
    6,046,857x = 9,166,261.50 × 9,166,261.50
  4. Step 4: Simplify right side
    6,046,857x = 84,020,349,886,382.25
  5. Step 5: Solve for x
    x = 84,020,349,886,382.25/6,046,857
  6. Step 6: Final answer
    x = 13,894,879.59

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