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Finding the Third Proportional to 16,738,569 and 35,485,897.50

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Solution

The third proportional to 16,738,569 and 35,485,897.50 is: 75,230,380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,738,569 : 35,485,897.50 = 35,485,897.50 : x
  2. Step 2: Convert to fraction form
    16,738,569/35,485,897.50 = 35,485,897.50/x
  3. Step 3: Cross multiply
    16,738,569x = 35,485,897.50 × 35,485,897.50
  4. Step 4: Simplify right side
    16,738,569x = 1,259,248,921,380,506.25
  5. Step 5: Solve for x
    x = 1,259,248,921,380,506.25/16,738,569
  6. Step 6: Final answer
    x = 75,230,380.89

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.