Finding the Third Proportional to 164,869,987,804 and 357,116,830,712
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Solution
The third proportional to 164,869,987,804 and 357,116,830,712 is: 773,533,330,574.37
Step by Step Solution
- Step 1: Write the proportion equation
164,869,987,804 : 357,116,830,712 = 357,116,830,712 : x - Step 2: Convert to fraction form
164,869,987,804/357,116,830,712 = 357,116,830,712/x - Step 3: Cross multiply
164,869,987,804x = 357,116,830,712 × 357,116,830,712 - Step 4: Simplify right side
164,869,987,804x = 127,532,430,777,783,267,885,056 - Step 5: Solve for x
x = 127,532,430,777,783,267,885,056/164,869,987,804 - Step 6: Final answer
x = 773,533,330,574.37
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.