Finding the Third Proportional to 10,527,075,506 and 23,120,140,900
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Solution
The third proportional to 10,527,075,506 and 23,120,140,900 is: 50,777,722,163.31
Step by Step Solution
- Step 1: Write the proportion equation
10,527,075,506 : 23,120,140,900 = 23,120,140,900 : x - Step 2: Convert to fraction form
10,527,075,506/23,120,140,900 = 23,120,140,900/x - Step 3: Cross multiply
10,527,075,506x = 23,120,140,900 × 23,120,140,900 - Step 4: Simplify right side
10,527,075,506x = 534,540,915,235,852,779,520 - Step 5: Solve for x
x = 534,540,915,235,852,779,520/10,527,075,506 - Step 6: Final answer
x = 50,777,722,163.31
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.