Finding the Third Proportional to 49,219,728 and 106,011,984
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Solution
The third proportional to 49,219,728 and 106,011,984 is: 228,334,068.64
Step by Step Solution
- Step 1: Write the proportion equation
49,219,728 : 106,011,984 = 106,011,984 : x - Step 2: Convert to fraction form
49,219,728/106,011,984 = 106,011,984/x - Step 3: Cross multiply
49,219,728x = 106,011,984 × 106,011,984 - Step 4: Simplify right side
49,219,728x = 11,238,540,751,616,256 - Step 5: Solve for x
x = 11,238,540,751,616,256/49,219,728 - Step 6: Final answer
x = 228,334,068.64
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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.