Finding the Third Proportional to 72,846,569,552 and 162,442,925,960
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Solution
The third proportional to 72,846,569,552 and 162,442,925,960 is: 362,236,744,389.31
Step by Step Solution
- Step 1: Write the proportion equation
72,846,569,552 : 162,442,925,960 = 162,442,925,960 : x - Step 2: Convert to fraction form
72,846,569,552/162,442,925,960 = 162,442,925,960/x - Step 3: Cross multiply
72,846,569,552x = 162,442,925,960 × 162,442,925,960 - Step 4: Simplify right side
72,846,569,552x = 26,387,704,194,446,041,022,464 - Step 5: Solve for x
x = 26,387,704,194,446,041,022,464/72,846,569,552 - Step 6: Final answer
x = 362,236,744,389.31
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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.