Finding the Third Proportional to 956,522,380,664 and 2,108,014,486,020
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Solution
The third proportional to 956,522,380,664 and 2,108,014,486,020 is: 4,645,709,460,750.32
Step by Step Solution
- Step 1: Write the proportion equation
956,522,380,664 : 2,108,014,486,020 = 2,108,014,486,020 : x - Step 2: Convert to fraction form
956,522,380,664/2,108,014,486,020 = 2,108,014,486,020/x - Step 3: Cross multiply
956,522,380,664x = 2,108,014,486,020 × 2,108,014,486,020 - Step 4: Simplify right side
956,522,380,664x = 4,443,725,073,270,165,024,538,624 - Step 5: Solve for x
x = 4,443,725,073,270,165,024,538,624/956,522,380,664 - Step 6: Final answer
x = 4,645,709,460,750.32
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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.