Finding the Third Proportional to 75,313,860,102 and 163,866,029,610
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Solution
The third proportional to 75,313,860,102 and 163,866,029,610 is: 356,535,644,618.12
Step by Step Solution
- Step 1: Write the proportion equation
75,313,860,102 : 163,866,029,610 = 163,866,029,610 : x - Step 2: Convert to fraction form
75,313,860,102/163,866,029,610 = 163,866,029,610/x - Step 3: Cross multiply
75,313,860,102x = 163,866,029,610 × 163,866,029,610 - Step 4: Simplify right side
75,313,860,102x = 26,852,075,660,145,395,236,864 - Step 5: Solve for x
x = 26,852,075,660,145,395,236,864/75,313,860,102 - Step 6: Final answer
x = 356,535,644,618.12
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.