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Finding the Third Proportional to 7,603,186.50 and 15,835,408.88

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Solution

The third proportional to 7,603,186.50 and 15,835,408.88 is: 32,980,931.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,603,186.50 : 15,835,408.88 = 15,835,408.88 : x
  2. Step 2: Convert to fraction form
    7,603,186.50/15,835,408.88 = 15,835,408.88/x
  3. Step 3: Cross multiply
    7,603,186.50x = 15,835,408.88 × 15,835,408.88
  4. Step 4: Simplify right side
    7,603,186.50x = 250,760,174,238,428.75
  5. Step 5: Solve for x
    x = 250,760,174,238,428.75/7,603,186.50
  6. Step 6: Final answer
    x = 32,980,931.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.