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Finding the Third Proportional to 13,211,433 and 18,604,093.50

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Solution

The third proportional to 13,211,433 and 18,604,093.50 is: 26,197,937.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211,433 : 18,604,093.50 = 18,604,093.50 : x
  2. Step 2: Convert to fraction form
    13,211,433/18,604,093.50 = 18,604,093.50/x
  3. Step 3: Cross multiply
    13,211,433x = 18,604,093.50 × 18,604,093.50
  4. Step 4: Simplify right side
    13,211,433x = 346,112,294,956,742.25
  5. Step 5: Solve for x
    x = 346,112,294,956,742.25/13,211,433
  6. Step 6: Final answer
    x = 26,197,937.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.