Finding the Third Proportional to 97,014,130,232 and 211,111,246,952
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Solution
The third proportional to 97,014,130,232 and 211,111,246,952 is: 459,396,569,170.37
Step by Step Solution
- Step 1: Write the proportion equation
97,014,130,232 : 211,111,246,952 = 211,111,246,952 : x - Step 2: Convert to fraction form
97,014,130,232/211,111,246,952 = 211,111,246,952/x - Step 3: Cross multiply
97,014,130,232x = 211,111,246,952 × 211,111,246,952 - Step 4: Simplify right side
97,014,130,232x = 44,567,958,589,628,330,541,056 - Step 5: Solve for x
x = 44,567,958,589,628,330,541,056/97,014,130,232 - Step 6: Final answer
x = 459,396,569,170.37
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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.