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Finding the Third Proportional to 3,196,977,963,143 and 6,903,498,768,418

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Solution

The third proportional to 3,196,977,963,143 and 6,903,498,768,418 is: 14,907,295,513,133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196,977,963,143 : 6,903,498,768,418 = 6,903,498,768,418 : x
  2. Step 2: Convert to fraction form
    3,196,977,963,143/6,903,498,768,418 = 6,903,498,768,418/x
  3. Step 3: Cross multiply
    3,196,977,963,143x = 6,903,498,768,418 × 6,903,498,768,418
  4. Step 4: Simplify right side
    3,196,977,963,143x = 47,658,295,245,548,843,729,682,432
  5. Step 5: Solve for x
    x = 47,658,295,245,548,843,729,682,432/3,196,977,963,143
  6. Step 6: Final answer
    x = 14,907,295,513,133.66

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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.