Finding the Third Proportional to 20,301,939,796 and 31,036,430,454
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Solution
The third proportional to 20,301,939,796 and 31,036,430,454 is: 47,446,698,443.85
Step by Step Solution
- Step 1: Write the proportion equation
20,301,939,796 : 31,036,430,454 = 31,036,430,454 : x - Step 2: Convert to fraction form
20,301,939,796/31,036,430,454 = 31,036,430,454/x - Step 3: Cross multiply
20,301,939,796x = 31,036,430,454 × 31,036,430,454 - Step 4: Simplify right side
20,301,939,796x = 963,260,015,325,978,689,536 - Step 5: Solve for x
x = 963,260,015,325,978,689,536/20,301,939,796 - Step 6: Final answer
x = 47,446,698,443.85
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.