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Finding the Third Proportional to 14,859,830 and 20,532,909

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Solution

The third proportional to 14,859,830 and 20,532,909 is: 28,371,815.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,859,830 : 20,532,909 = 20,532,909 : x
  2. Step 2: Convert to fraction form
    14,859,830/20,532,909 = 20,532,909/x
  3. Step 3: Cross multiply
    14,859,830x = 20,532,909 × 20,532,909
  4. Step 4: Simplify right side
    14,859,830x = 421,600,352,002,281
  5. Step 5: Solve for x
    x = 421,600,352,002,281/14,859,830
  6. Step 6: Final answer
    x = 28,371,815.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.