Finding the Third Proportional to 151,429,509,030 and 327,037,145,484
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Solution
The third proportional to 151,429,509,030 and 327,037,145,484 is: 706,290,968,064.45
Step by Step Solution
- Step 1: Write the proportion equation
151,429,509,030 : 327,037,145,484 = 327,037,145,484 : x - Step 2: Convert to fraction form
151,429,509,030/327,037,145,484 = 327,037,145,484/x - Step 3: Cross multiply
151,429,509,030x = 327,037,145,484 × 327,037,145,484 - Step 4: Simplify right side
151,429,509,030x = 106,953,294,526,322,984,353,792 - Step 5: Solve for x
x = 106,953,294,526,322,984,353,792/151,429,509,030 - Step 6: Final answer
x = 706,290,968,064.45
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.