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Finding the Third Proportional to 7,647,969,148.14 and 16,458,200,122.08

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Solution

The third proportional to 7,647,969,148.14 and 16,458,200,122.08 is: 35,417,552,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647,969,148.14 : 16,458,200,122.08 = 16,458,200,122.08 : x
  2. Step 2: Convert to fraction form
    7,647,969,148.14/16,458,200,122.08 = 16,458,200,122.08/x
  3. Step 3: Cross multiply
    7,647,969,148.14x = 16,458,200,122.08 × 16,458,200,122.08
  4. Step 4: Simplify right side
    7,647,969,148.14x = 270,872,351,258,401,210,368
  5. Step 5: Solve for x
    x = 270,872,351,258,401,210,368/7,647,969,148.14
  6. Step 6: Final answer
    x = 35,417,552,818.50

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