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Finding the Third Proportional to 19,836,225 and 30,638,689.50

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Solution

The third proportional to 19,836,225 and 30,638,689.50 is: 47,323,989.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,836,225 : 30,638,689.50 = 30,638,689.50 : x
  2. Step 2: Convert to fraction form
    19,836,225/30,638,689.50 = 30,638,689.50/x
  3. Step 3: Cross multiply
    19,836,225x = 30,638,689.50 × 30,638,689.50
  4. Step 4: Simplify right side
    19,836,225x = 938,729,294,277,410.25
  5. Step 5: Solve for x
    x = 938,729,294,277,410.25/19,836,225
  6. Step 6: Final answer
    x = 47,323,989.03

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.