Finding the Third Proportional to 149,602,254,428 and 329,124,595,576
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Solution
The third proportional to 149,602,254,428 and 329,124,595,576 is: 724,073,309,103.77
Step by Step Solution
- Step 1: Write the proportion equation
149,602,254,428 : 329,124,595,576 = 329,124,595,576 : x - Step 2: Convert to fraction form
149,602,254,428/329,124,595,576 = 329,124,595,576/x - Step 3: Cross multiply
149,602,254,428x = 329,124,595,576 × 329,124,595,576 - Step 4: Simplify right side
149,602,254,428x = 108,322,999,413,065,562,193,920 - Step 5: Solve for x
x = 108,322,999,413,065,562,193,920/149,602,254,428 - Step 6: Final answer
x = 724,073,309,103.77
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.