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Finding the Third Proportional to 13,761,538.50 and 21,862,744.50

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Solution

The third proportional to 13,761,538.50 and 21,862,744.50 is: 34,733,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761,538.50 : 21,862,744.50 = 21,862,744.50 : x
  2. Step 2: Convert to fraction form
    13,761,538.50/21,862,744.50 = 21,862,744.50/x
  3. Step 3: Cross multiply
    13,761,538.50x = 21,862,744.50 × 21,862,744.50
  4. Step 4: Simplify right side
    13,761,538.50x = 477,979,597,072,280.25
  5. Step 5: Solve for x
    x = 477,979,597,072,280.25/13,761,538.50
  6. Step 6: Final answer
    x = 34,733,005.84

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.