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Finding the Third Proportional to 46,850,058,178 and 71,372,822,940

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Solution

The third proportional to 46,850,058,178 and 71,372,822,940 is: 108,731,558,775.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,850,058,178 : 71,372,822,940 = 71,372,822,940 : x
  2. Step 2: Convert to fraction form
    46,850,058,178/71,372,822,940 = 71,372,822,940/x
  3. Step 3: Cross multiply
    46,850,058,178x = 71,372,822,940 × 71,372,822,940
  4. Step 4: Simplify right side
    46,850,058,178x = 5,094,079,854,424,590,647,296
  5. Step 5: Solve for x
    x = 5,094,079,854,424,590,647,296/46,850,058,178
  6. Step 6: Final answer
    x = 108,731,558,775.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.