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Finding the Third Proportional to 6,785,010 and 14,632,861.50

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Solution

The third proportional to 6,785,010 and 14,632,861.50 is: 31,557,895.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785,010 : 14,632,861.50 = 14,632,861.50 : x
  2. Step 2: Convert to fraction form
    6,785,010/14,632,861.50 = 14,632,861.50/x
  3. Step 3: Cross multiply
    6,785,010x = 14,632,861.50 × 14,632,861.50
  4. Step 4: Simplify right side
    6,785,010x = 214,120,635,678,182.25
  5. Step 5: Solve for x
    x = 214,120,635,678,182.25/6,785,010
  6. Step 6: Final answer
    x = 31,557,895.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.