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Finding the Third Proportional to 13,423,742 and 20,137,053

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Solution

The third proportional to 13,423,742 and 20,137,053 is: 30,207,739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423,742 : 20,137,053 = 20,137,053 : x
  2. Step 2: Convert to fraction form
    13,423,742/20,137,053 = 20,137,053/x
  3. Step 3: Cross multiply
    13,423,742x = 20,137,053 × 20,137,053
  4. Step 4: Simplify right side
    13,423,742x = 405,500,903,524,809
  5. Step 5: Solve for x
    x = 405,500,903,524,809/13,423,742
  6. Step 6: Final answer
    x = 30,207,739.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.