Finding the Third Proportional to 817,633,490,544 and 1,779,242,109,372
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Solution
The third proportional to 817,633,490,544 and 1,779,242,109,372 is: 3,871,786,711,740.82
Step by Step Solution
- Step 1: Write the proportion equation
817,633,490,544 : 1,779,242,109,372 = 1,779,242,109,372 : x - Step 2: Convert to fraction form
817,633,490,544/1,779,242,109,372 = 1,779,242,109,372/x - Step 3: Cross multiply
817,633,490,544x = 1,779,242,109,372 × 1,779,242,109,372 - Step 4: Simplify right side
817,633,490,544x = 3,165,702,483,762,524,083,716,096 - Step 5: Solve for x
x = 3,165,702,483,762,524,083,716,096/817,633,490,544 - Step 6: Final answer
x = 3,871,786,711,740.82
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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.