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Finding the Third Proportional to 13,335,782,655 and 28,797,057,783

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Solution

The third proportional to 13,335,782,655 and 28,797,057,783 is: 62,183,867,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,335,782,655 : 28,797,057,783 = 28,797,057,783 : x
  2. Step 2: Convert to fraction form
    13,335,782,655/28,797,057,783 = 28,797,057,783/x
  3. Step 3: Cross multiply
    13,335,782,655x = 28,797,057,783 × 28,797,057,783
  4. Step 4: Simplify right side
    13,335,782,655x = 829,270,536,957,440,819,200
  5. Step 5: Solve for x
    x = 829,270,536,957,440,819,200/13,335,782,655
  6. Step 6: Final answer
    x = 62,183,867,149.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.