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Finding the Third Proportional to 5,841,136.50 and 12,783,412.50

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Solution

The third proportional to 5,841,136.50 and 12,783,412.50 is: 27,976,684.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841,136.50 : 12,783,412.50 = 12,783,412.50 : x
  2. Step 2: Convert to fraction form
    5,841,136.50/12,783,412.50 = 12,783,412.50/x
  3. Step 3: Cross multiply
    5,841,136.50x = 12,783,412.50 × 12,783,412.50
  4. Step 4: Simplify right side
    5,841,136.50x = 163,415,635,145,156.25
  5. Step 5: Solve for x
    x = 163,415,635,145,156.25/5,841,136.50
  6. Step 6: Final answer
    x = 27,976,684.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.