Finding the Third Proportional to 817,633,505,688 and 1,779,242,139,696
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Solution
The third proportional to 817,633,505,688 and 1,779,242,139,696 is: 3,871,786,772,003.93
Step by Step Solution
- Step 1: Write the proportion equation
817,633,505,688 : 1,779,242,139,696 = 1,779,242,139,696 : x - Step 2: Convert to fraction form
817,633,505,688/1,779,242,139,696 = 1,779,242,139,696/x - Step 3: Cross multiply
817,633,505,688x = 1,779,242,139,696 × 1,779,242,139,696 - Step 4: Simplify right side
817,633,505,688x = 3,165,702,591,670,000,224,829,440 - Step 5: Solve for x
x = 3,165,702,591,670,000,224,829,440/817,633,505,688 - Step 6: Final answer
x = 3,871,786,772,003.93
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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.