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Finding the Third Proportional to 2,330,697 and 5,494,045.50

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Solution

The third proportional to 2,330,697 and 5,494,045.50 is: 12,950,862.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330,697 : 5,494,045.50 = 5,494,045.50 : x
  2. Step 2: Convert to fraction form
    2,330,697/5,494,045.50 = 5,494,045.50/x
  3. Step 3: Cross multiply
    2,330,697x = 5,494,045.50 × 5,494,045.50
  4. Step 4: Simplify right side
    2,330,697x = 30,184,535,956,070.25
  5. Step 5: Solve for x
    x = 30,184,535,956,070.25/2,330,697
  6. Step 6: Final answer
    x = 12,950,862.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.