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Finding the Third Proportional to 4,384,532,810 and 6,334,892,751

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Solution

The third proportional to 4,384,532,810 and 6,334,892,751 is: 9,152,826,060.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384,532,810 : 6,334,892,751 = 6,334,892,751 : x
  2. Step 2: Convert to fraction form
    4,384,532,810/6,334,892,751 = 6,334,892,751/x
  3. Step 3: Cross multiply
    4,384,532,810x = 6,334,892,751 × 6,334,892,751
  4. Step 4: Simplify right side
    4,384,532,810x = 40,130,866,166,672,351,232
  5. Step 5: Solve for x
    x = 40,130,866,166,672,351,232/4,384,532,810
  6. Step 6: Final answer
    x = 9,152,826,060.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.