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Finding the Third Proportional to 30,608,716,525,608 and 67,456,464,240,800

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Solution

The third proportional to 30,608,716,525,608 and 67,456,464,240,800 is: 148,662,704,104,674.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,608,716,525,608 : 67,456,464,240,800 = 67,456,464,240,800 : x
  2. Step 2: Convert to fraction form
    30,608,716,525,608/67,456,464,240,800 = 67,456,464,240,800/x
  3. Step 3: Cross multiply
    30,608,716,525,608x = 67,456,464,240,800 × 67,456,464,240,800
  4. Step 4: Simplify right side
    30,608,716,525,608x = 4,550,374,567,870,328,915,091,259,392
  5. Step 5: Solve for x
    x = 4,550,374,567,870,328,915,091,259,392/30,608,716,525,608
  6. Step 6: Final answer
    x = 148,662,704,104,674.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.