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Finding the Third Proportional to 1,055,149,058 and 1,552,032,868

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Solution

The third proportional to 1,055,149,058 and 1,552,032,868 is: 2,282,905,912.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055,149,058 : 1,552,032,868 = 1,552,032,868 : x
  2. Step 2: Convert to fraction form
    1,055,149,058/1,552,032,868 = 1,552,032,868/x
  3. Step 3: Cross multiply
    1,055,149,058x = 1,552,032,868 × 1,552,032,868
  4. Step 4: Simplify right side
    1,055,149,058x = 2,408,806,023,352,305,664
  5. Step 5: Solve for x
    x = 2,408,806,023,352,305,664/1,055,149,058
  6. Step 6: Final answer
    x = 2,282,905,912.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.