Finding the Third Proportional to 56,598,984,106 and 121,148,780,468
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Solution
The third proportional to 56,598,984,106 and 121,148,780,468 is: 259,316,085,627.90
Step by Step Solution
- Step 1: Write the proportion equation
56,598,984,106 : 121,148,780,468 = 121,148,780,468 : x - Step 2: Convert to fraction form
56,598,984,106/121,148,780,468 = 121,148,780,468/x - Step 3: Cross multiply
56,598,984,106x = 121,148,780,468 × 121,148,780,468 - Step 4: Simplify right side
56,598,984,106x = 14,677,027,008,883,657,277,440 - Step 5: Solve for x
x = 14,677,027,008,883,657,277,440/56,598,984,106 - Step 6: Final answer
x = 259,316,085,627.90
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.