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Finding the Third Proportional to 6,408,661,663,816 and 13,747,645,282,766

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Solution

The third proportional to 6,408,661,663,816 and 13,747,645,282,766 is: 29,490,985,908,627.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408,661,663,816 : 13,747,645,282,766 = 13,747,645,282,766 : x
  2. Step 2: Convert to fraction form
    6,408,661,663,816/13,747,645,282,766 = 13,747,645,282,766/x
  3. Step 3: Cross multiply
    6,408,661,663,816x = 13,747,645,282,766 × 13,747,645,282,766
  4. Step 4: Simplify right side
    6,408,661,663,816x = 188,997,750,820,758,240,171,655,168
  5. Step 5: Solve for x
    x = 188,997,750,820,758,240,171,655,168/6,408,661,663,816
  6. Step 6: Final answer
    x = 29,490,985,908,627.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.