Finding the Third Proportional to 34,026,013,016,784 and 73,212,699,219,102
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Solution
The third proportional to 34,026,013,016,784 and 73,212,699,219,102 is: 157,529,456,192,905.25
Step by Step Solution
- Step 1: Write the proportion equation
34,026,013,016,784 : 73,212,699,219,102 = 73,212,699,219,102 : x - Step 2: Convert to fraction form
34,026,013,016,784/73,212,699,219,102 = 73,212,699,219,102/x - Step 3: Cross multiply
34,026,013,016,784x = 73,212,699,219,102 × 73,212,699,219,102 - Step 4: Simplify right side
34,026,013,016,784x = 5,360,099,326,946,698,584,639,143,936 - Step 5: Solve for x
x = 5,360,099,326,946,698,584,639,143,936/34,026,013,016,784 - Step 6: Final answer
x = 157,529,456,192,905.25
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.