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Finding the Third Proportional to 9,436,383,706 and 14,651,784,643

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Solution

The third proportional to 9,436,383,706 and 14,651,784,643 is: 22,749,688,854.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,436,383,706 : 14,651,784,643 = 14,651,784,643 : x
  2. Step 2: Convert to fraction form
    9,436,383,706/14,651,784,643 = 14,651,784,643/x
  3. Step 3: Cross multiply
    9,436,383,706x = 14,651,784,643 × 14,651,784,643
  4. Step 4: Simplify right side
    9,436,383,706x = 214,674,793,224,850,636,800
  5. Step 5: Solve for x
    x = 214,674,793,224,850,636,800/9,436,383,706
  6. Step 6: Final answer
    x = 22,749,688,854.68

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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.