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Finding the Third Proportional to 7,558,055,190 and 10,638,769,257

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Solution

The third proportional to 7,558,055,190 and 10,638,769,257 is: 14,975,203,072.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,558,055,190 : 10,638,769,257 = 10,638,769,257 : x
  2. Step 2: Convert to fraction form
    7,558,055,190/10,638,769,257 = 10,638,769,257/x
  3. Step 3: Cross multiply
    7,558,055,190x = 10,638,769,257 × 10,638,769,257
  4. Step 4: Simplify right side
    7,558,055,190x = 113,183,411,303,688,339,456
  5. Step 5: Solve for x
    x = 113,183,411,303,688,339,456/7,558,055,190
  6. Step 6: Final answer
    x = 14,975,203,072.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.