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Finding the Third Proportional to 55,876,640 and 83,470,836

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Solution

The third proportional to 55,876,640 and 83,470,836 is: 124,692,187.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,876,640 : 83,470,836 = 83,470,836 : x
  2. Step 2: Convert to fraction form
    55,876,640/83,470,836 = 83,470,836/x
  3. Step 3: Cross multiply
    55,876,640x = 83,470,836 × 83,470,836
  4. Step 4: Simplify right side
    55,876,640x = 6,967,380,462,538,896
  5. Step 5: Solve for x
    x = 6,967,380,462,538,896/55,876,640
  6. Step 6: Final answer
    x = 124,692,187.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.