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Finding the Third Proportional to 7,558,055,256 and 10,638,769,352

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Solution

The third proportional to 7,558,055,256 and 10,638,769,352 is: 14,975,203,209.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,558,055,256 : 10,638,769,352 = 10,638,769,352 : x
  2. Step 2: Convert to fraction form
    7,558,055,256/10,638,769,352 = 10,638,769,352/x
  3. Step 3: Cross multiply
    7,558,055,256x = 10,638,769,352 × 10,638,769,352
  4. Step 4: Simplify right side
    7,558,055,256x = 113,183,413,325,054,492,672
  5. Step 5: Solve for x
    x = 113,183,413,325,054,492,672/7,558,055,256
  6. Step 6: Final answer
    x = 14,975,203,209.21

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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.