Finding the Third Proportional to 401,673,422,608 and 873,951,380,258
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Solution
The third proportional to 401,673,422,608 and 873,951,380,258 is: 1,901,522,411,156.04
Step by Step Solution
- Step 1: Write the proportion equation
401,673,422,608 : 873,951,380,258 = 873,951,380,258 : x - Step 2: Convert to fraction form
401,673,422,608/873,951,380,258 = 873,951,380,258/x - Step 3: Cross multiply
401,673,422,608x = 873,951,380,258 × 873,951,380,258 - Step 4: Simplify right side
401,673,422,608x = 763,791,015,054,863,300,034,560 - Step 5: Solve for x
x = 763,791,015,054,863,300,034,560/401,673,422,608 - Step 6: Final answer
x = 1,901,522,411,156.04
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.