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Finding the Third Proportional to 6,593,766,375,388.80 and 9,975,454,433,415.60

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Solution

The third proportional to 6,593,766,375,388.80 and 9,975,454,433,415.60 is: 15,091,479,662,453.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593,766,375,388.80 : 9,975,454,433,415.60 = 9,975,454,433,415.60 : x
  2. Step 2: Convert to fraction form
    6,593,766,375,388.80/9,975,454,433,415.60 = 9,975,454,433,415.60/x
  3. Step 3: Cross multiply
    6,593,766,375,388.80x = 9,975,454,433,415.60 × 9,975,454,433,415.60
  4. Step 4: Simplify right side
    6,593,766,375,388.80x = 99,509,691,153,150,932,856,864,768
  5. Step 5: Solve for x
    x = 99,509,691,153,150,932,856,864,768/6,593,766,375,388.80
  6. Step 6: Final answer
    x = 15,091,479,662,453.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.