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Finding the Third Proportional to 46,850,058,186 and 71,372,822,952

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Solution

The third proportional to 46,850,058,186 and 71,372,822,952 is: 108,731,558,793.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,850,058,186 : 71,372,822,952 = 71,372,822,952 : x
  2. Step 2: Convert to fraction form
    46,850,058,186/71,372,822,952 = 71,372,822,952/x
  3. Step 3: Cross multiply
    46,850,058,186x = 71,372,822,952 × 71,372,822,952
  4. Step 4: Simplify right side
    46,850,058,186x = 5,094,079,856,137,538,109,440
  5. Step 5: Solve for x
    x = 5,094,079,856,137,538,109,440/46,850,058,186
  6. Step 6: Final answer
    x = 108,731,558,793.66

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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.