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Finding the Third Proportional to 1,446,113,387 and 2,932,888,189

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Solution

The third proportional to 1,446,113,387 and 2,932,888,189 is: 5,948,242,514.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446,113,387 : 2,932,888,189 = 2,932,888,189 : x
  2. Step 2: Convert to fraction form
    1,446,113,387/2,932,888,189 = 2,932,888,189/x
  3. Step 3: Cross multiply
    1,446,113,387x = 2,932,888,189 × 2,932,888,189
  4. Step 4: Simplify right side
    1,446,113,387x = 8,601,833,129,175,699,456
  5. Step 5: Solve for x
    x = 8,601,833,129,175,699,456/1,446,113,387
  6. Step 6: Final answer
    x = 5,948,242,514.39

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.