Finding the Third Proportional to 1,024,415,415 and 2,204,202,267
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Solution
The third proportional to 1,024,415,415 and 2,204,202,267 is: 4,742,712,343.75
Step by Step Solution
- Step 1: Write the proportion equation
1,024,415,415 : 2,204,202,267 = 2,204,202,267 : x - Step 2: Convert to fraction form
1,024,415,415/2,204,202,267 = 2,204,202,267/x - Step 3: Cross multiply
1,024,415,415x = 2,204,202,267 × 2,204,202,267 - Step 4: Simplify right side
1,024,415,415x = 4,858,507,633,847,939,072 - Step 5: Solve for x
x = 4,858,507,633,847,939,072/1,024,415,415 - Step 6: Final answer
x = 4,742,712,343.75
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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.