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Finding the Third Proportional to 9,436,383,732 and 14,651,784,684

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Solution

The third proportional to 9,436,383,732 and 14,651,784,684 is: 22,749,688,919.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,436,383,732 : 14,651,784,684 = 14,651,784,684 : x
  2. Step 2: Convert to fraction form
    9,436,383,732/14,651,784,684 = 14,651,784,684/x
  3. Step 3: Cross multiply
    9,436,383,732x = 14,651,784,684 × 14,651,784,684
  4. Step 4: Simplify right side
    9,436,383,732x = 214,674,794,426,296,991,744
  5. Step 5: Solve for x
    x = 214,674,794,426,296,991,744/9,436,383,732
  6. Step 6: Final answer
    x = 22,749,688,919.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.