Finding the Third Proportional to 78,058,013,724 and 105,318,586,692
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Solution
The third proportional to 78,058,013,724 and 105,318,586,692 is: 142,099,499,764.62
Step by Step Solution
- Step 1: Write the proportion equation
78,058,013,724 : 105,318,586,692 = 105,318,586,692 : x - Step 2: Convert to fraction form
78,058,013,724/105,318,586,692 = 105,318,586,692/x - Step 3: Cross multiply
78,058,013,724x = 105,318,586,692 × 105,318,586,692 - Step 4: Simplify right side
78,058,013,724x = 11,092,004,702,800,318,562,304 - Step 5: Solve for x
x = 11,092,004,702,800,318,562,304/78,058,013,724 - Step 6: Final answer
x = 142,099,499,764.62
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.