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Finding the Third Proportional to 3,097,045,264 and 4,734,441,258

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Solution

The third proportional to 3,097,045,264 and 4,734,441,258 is: 7,237,522,255.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,045,264 : 4,734,441,258 = 4,734,441,258 : x
  2. Step 2: Convert to fraction form
    3,097,045,264/4,734,441,258 = 4,734,441,258/x
  3. Step 3: Cross multiply
    3,097,045,264x = 4,734,441,258 × 4,734,441,258
  4. Step 4: Simplify right side
    3,097,045,264x = 22,414,934,025,452,621,824
  5. Step 5: Solve for x
    x = 22,414,934,025,452,621,824/3,097,045,264
  6. Step 6: Final answer
    x = 7,237,522,255.81

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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.