Finding the Third Proportional to 2,593,106,354,355.80 and 5,765,994,279,524.70
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Solution
The third proportional to 2,593,106,354,355.80 and 5,765,994,279,524.70 is: 12,821,182,584,996.97
Step by Step Solution
- Step 1: Write the proportion equation
2,593,106,354,355.80 : 5,765,994,279,524.70 = 5,765,994,279,524.70 : x - Step 2: Convert to fraction form
2,593,106,354,355.80/5,765,994,279,524.70 = 5,765,994,279,524.70/x - Step 3: Cross multiply
2,593,106,354,355.80x = 5,765,994,279,524.70 × 5,765,994,279,524.70 - Step 4: Simplify right side
2,593,106,354,355.80x = 33,246,690,031,511,565,798,211,584 - Step 5: Solve for x
x = 33,246,690,031,511,565,798,211,584/2,593,106,354,355.80 - Step 6: Final answer
x = 12,821,182,584,996.97
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.