Finding the Third Proportional to 16,169,022,876 and 35,185,210,200
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Solution
The third proportional to 16,169,022,876 and 35,185,210,200 is: 76,566,099,653.17
Step by Step Solution
- Step 1: Write the proportion equation
16,169,022,876 : 35,185,210,200 = 35,185,210,200 : x - Step 2: Convert to fraction form
16,169,022,876/35,185,210,200 = 35,185,210,200/x - Step 3: Cross multiply
16,169,022,876x = 35,185,210,200 × 35,185,210,200 - Step 4: Simplify right side
16,169,022,876x = 1,237,999,016,818,184,028,160 - Step 5: Solve for x
x = 1,237,999,016,818,184,028,160/16,169,022,876 - Step 6: Final answer
x = 76,566,099,653.17
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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.