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Finding the Third Proportional to 1,401,885,243 and 2,991,405,608.25

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Solution

The third proportional to 1,401,885,243 and 2,991,405,608.25 is: 6,383,195,456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401,885,243 : 2,991,405,608.25 = 2,991,405,608.25 : x
  2. Step 2: Convert to fraction form
    1,401,885,243/2,991,405,608.25 = 2,991,405,608.25/x
  3. Step 3: Cross multiply
    1,401,885,243x = 2,991,405,608.25 × 2,991,405,608.25
  4. Step 4: Simplify right side
    1,401,885,243x = 8,948,507,513,069,552,640
  5. Step 5: Solve for x
    x = 8,948,507,513,069,552,640/1,401,885,243
  6. Step 6: Final answer
    x = 6,383,195,456.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.