Finding the Third Proportional to 344,043,574,206 and 478,365,089,616
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Solution
The third proportional to 344,043,574,206 and 478,365,089,616 is: 665,128,420,117.82
Step by Step Solution
- Step 1: Write the proportion equation
344,043,574,206 : 478,365,089,616 = 478,365,089,616 : x - Step 2: Convert to fraction form
344,043,574,206/478,365,089,616 = 478,365,089,616/x - Step 3: Cross multiply
344,043,574,206x = 478,365,089,616 × 478,365,089,616 - Step 4: Simplify right side
344,043,574,206x = 228,833,158,963,323,727,773,696 - Step 5: Solve for x
x = 228,833,158,963,323,727,773,696/344,043,574,206 - Step 6: Final answer
x = 665,128,420,117.82
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Why These Related Problems?
These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.