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Finding the Third Proportional to 3,097,045,260 and 4,734,441,252

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Solution

The third proportional to 3,097,045,260 and 4,734,441,252 is: 7,237,522,246.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,045,260 : 4,734,441,252 = 4,734,441,252 : x
  2. Step 2: Convert to fraction form
    3,097,045,260/4,734,441,252 = 4,734,441,252/x
  3. Step 3: Cross multiply
    3,097,045,260x = 4,734,441,252 × 4,734,441,252
  4. Step 4: Simplify right side
    3,097,045,260x = 22,414,933,968,639,328,256
  5. Step 5: Solve for x
    x = 22,414,933,968,639,328,256/3,097,045,260
  6. Step 6: Final answer
    x = 7,237,522,246.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.