Finding the Third Proportional to 344,043,574,234 and 478,365,089,658
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Solution
The third proportional to 344,043,574,234 and 478,365,089,658 is: 665,128,420,180.48
Step by Step Solution
- Step 1: Write the proportion equation
344,043,574,234 : 478,365,089,658 = 478,365,089,658 : x - Step 2: Convert to fraction form
344,043,574,234/478,365,089,658 = 478,365,089,658/x - Step 3: Cross multiply
344,043,574,234x = 478,365,089,658 × 478,365,089,658 - Step 4: Simplify right side
344,043,574,234x = 228,833,159,003,506,368,053,248 - Step 5: Solve for x
x = 228,833,159,003,506,368,053,248/344,043,574,234 - Step 6: Final answer
x = 665,128,420,180.48
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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.