Finding the Third Proportional to 48,564,403,308 and 108,295,337,016
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Solution
The third proportional to 48,564,403,308 and 108,295,337,016 is: 241,491,282,102.85
Step by Step Solution
- Step 1: Write the proportion equation
48,564,403,308 : 108,295,337,016 = 108,295,337,016 : x - Step 2: Convert to fraction form
48,564,403,308/108,295,337,016 = 108,295,337,016/x - Step 3: Cross multiply
48,564,403,308x = 108,295,337,016 × 108,295,337,016 - Step 4: Simplify right side
48,564,403,308x = 11,727,880,019,409,018,814,464 - Step 5: Solve for x
x = 11,727,880,019,409,018,814,464/48,564,403,308 - Step 6: Final answer
x = 241,491,282,102.85
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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.