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Finding the Third Proportional to 14,273,824 and 20,347,854

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Solution

The third proportional to 14,273,824 and 20,347,854 is: 29,006,604.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,273,824 : 20,347,854 = 20,347,854 : x
  2. Step 2: Convert to fraction form
    14,273,824/20,347,854 = 20,347,854/x
  3. Step 3: Cross multiply
    14,273,824x = 20,347,854 × 20,347,854
  4. Step 4: Simplify right side
    14,273,824x = 414,035,162,405,316
  5. Step 5: Solve for x
    x = 414,035,162,405,316/14,273,824
  6. Step 6: Final answer
    x = 29,006,604.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.