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Finding the Third Proportional to 5,774,099.50 and 12,401,129

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Solution

The third proportional to 5,774,099.50 and 12,401,129 is: 26,634,109.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774,099.50 : 12,401,129 = 12,401,129 : x
  2. Step 2: Convert to fraction form
    5,774,099.50/12,401,129 = 12,401,129/x
  3. Step 3: Cross multiply
    5,774,099.50x = 12,401,129 × 12,401,129
  4. Step 4: Simplify right side
    5,774,099.50x = 153,788,000,474,641
  5. Step 5: Solve for x
    x = 153,788,000,474,641/5,774,099.50
  6. Step 6: Final answer
    x = 26,634,109.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.