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Finding the Third Proportional to 46,850,058,182 and 71,372,822,946

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Solution

The third proportional to 46,850,058,182 and 71,372,822,946 is: 108,731,558,784.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,850,058,182 : 71,372,822,946 = 71,372,822,946 : x
  2. Step 2: Convert to fraction form
    46,850,058,182/71,372,822,946 = 71,372,822,946/x
  3. Step 3: Cross multiply
    46,850,058,182x = 71,372,822,946 × 71,372,822,946
  4. Step 4: Simplify right side
    46,850,058,182x = 5,094,079,855,281,064,378,368
  5. Step 5: Solve for x
    x = 5,094,079,855,281,064,378,368/46,850,058,182
  6. Step 6: Final answer
    x = 108,731,558,784.66

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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.