Finding the Third Proportional to 46,098,242,136 and 102,795,964,297
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Solution
The third proportional to 46,098,242,136 and 102,795,964,297 is: 229,228,052,657.09
Step by Step Solution
- Step 1: Write the proportion equation
46,098,242,136 : 102,795,964,297 = 102,795,964,297 : x - Step 2: Convert to fraction form
46,098,242,136/102,795,964,297 = 102,795,964,297/x - Step 3: Cross multiply
46,098,242,136x = 102,795,964,297 × 102,795,964,297 - Step 4: Simplify right side
46,098,242,136x = 10,567,010,275,750,097,977,344 - Step 5: Solve for x
x = 10,567,010,275,750,097,977,344/46,098,242,136 - Step 6: Final answer
x = 229,228,052,657.09
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.