Finding the Third Proportional to 4,742,024,352,325 and 6,398,104,167,604
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Solution
The third proportional to 4,742,024,352,325 and 6,398,104,167,604 is: 8,632,544,647,190.82
Step by Step Solution
- Step 1: Write the proportion equation
4,742,024,352,325 : 6,398,104,167,604 = 6,398,104,167,604 : x - Step 2: Convert to fraction form
4,742,024,352,325/6,398,104,167,604 = 6,398,104,167,604/x - Step 3: Cross multiply
4,742,024,352,325x = 6,398,104,167,604 × 6,398,104,167,604 - Step 4: Simplify right side
4,742,024,352,325x = 40,935,736,939,511,672,775,639,040 - Step 5: Solve for x
x = 40,935,736,939,511,672,775,639,040/4,742,024,352,325 - Step 6: Final answer
x = 8,632,544,647,190.82
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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.