Finding the Third Proportional to 125,961,795,126 and 277,598,615,688
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Solution
The third proportional to 125,961,795,126 and 277,598,615,688 is: 611,780,670,121.52
Step by Step Solution
- Step 1: Write the proportion equation
125,961,795,126 : 277,598,615,688 = 277,598,615,688 : x - Step 2: Convert to fraction form
125,961,795,126/277,598,615,688 = 277,598,615,688/x - Step 3: Cross multiply
125,961,795,126x = 277,598,615,688 × 277,598,615,688 - Step 4: Simplify right side
125,961,795,126x = 77,060,991,431,893,925,756,928 - Step 5: Solve for x
x = 77,060,991,431,893,925,756,928/125,961,795,126 - Step 6: Final answer
x = 611,780,670,121.52
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.