Finding the Third Proportional to 956,522,380,666 and 2,108,014,486,024
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Solution
The third proportional to 956,522,380,666 and 2,108,014,486,024 is: 4,645,709,460,758.24
Step by Step Solution
- Step 1: Write the proportion equation
956,522,380,666 : 2,108,014,486,024 = 2,108,014,486,024 : x - Step 2: Convert to fraction form
956,522,380,666/2,108,014,486,024 = 2,108,014,486,024/x - Step 3: Cross multiply
956,522,380,666x = 2,108,014,486,024 × 2,108,014,486,024 - Step 4: Simplify right side
956,522,380,666x = 4,443,725,073,287,028,676,755,456 - Step 5: Solve for x
x = 4,443,725,073,287,028,676,755,456/956,522,380,666 - Step 6: Final answer
x = 4,645,709,460,758.24
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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.