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Finding the Third Proportional to 9,436,383,735 and 14,651,784,688.50

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Solution

The third proportional to 9,436,383,735 and 14,651,784,688.50 is: 22,749,688,926.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,436,383,735 : 14,651,784,688.50 = 14,651,784,688.50 : x
  2. Step 2: Convert to fraction form
    9,436,383,735/14,651,784,688.50 = 14,651,784,688.50/x
  3. Step 3: Cross multiply
    9,436,383,735x = 14,651,784,688.50 × 14,651,784,688.50
  4. Step 4: Simplify right side
    9,436,383,735x = 214,674,794,558,163,025,920
  5. Step 5: Solve for x
    x = 214,674,794,558,163,025,920/9,436,383,735
  6. Step 6: Final answer
    x = 22,749,688,926.06

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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.