Finding the Third Proportional to 71,573,191,490 and 106,739,112,963
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Solution
The third proportional to 71,573,191,490 and 106,739,112,963 is: 159,183,040,450.56
Step by Step Solution
- Step 1: Write the proportion equation
71,573,191,490 : 106,739,112,963 = 106,739,112,963 : x - Step 2: Convert to fraction form
71,573,191,490/106,739,112,963 = 106,739,112,963/x - Step 3: Cross multiply
71,573,191,490x = 106,739,112,963 × 106,739,112,963 - Step 4: Simplify right side
71,573,191,490x = 11,393,238,236,128,075,579,392 - Step 5: Solve for x
x = 11,393,238,236,128,075,579,392/71,573,191,490 - Step 6: Final answer
x = 159,183,040,450.56
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.