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Finding the Third Proportional to 1,058,307,950 and 1,645,315,181

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Solution

The third proportional to 1,058,307,950 and 1,645,315,181 is: 2,557,915,250.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058,307,950 : 1,645,315,181 = 1,645,315,181 : x
  2. Step 2: Convert to fraction form
    1,058,307,950/1,645,315,181 = 1,645,315,181/x
  3. Step 3: Cross multiply
    1,058,307,950x = 1,645,315,181 × 1,645,315,181
  4. Step 4: Simplify right side
    1,058,307,950x = 2,707,062,044,829,062,656
  5. Step 5: Solve for x
    x = 2,707,062,044,829,062,656/1,058,307,950
  6. Step 6: Final answer
    x = 2,557,915,250.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.