Finding the Third Proportional to 947,059,087,836 and 1,368,336,835,494
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Solution
The third proportional to 947,059,087,836 and 1,368,336,835,494 is: 1,977,010,430,941.52
Step by Step Solution
- Step 1: Write the proportion equation
947,059,087,836 : 1,368,336,835,494 = 1,368,336,835,494 : x - Step 2: Convert to fraction form
947,059,087,836/1,368,336,835,494 = 1,368,336,835,494/x - Step 3: Cross multiply
947,059,087,836x = 1,368,336,835,494 × 1,368,336,835,494 - Step 4: Simplify right side
947,059,087,836x = 1,872,345,695,369,733,892,734,976 - Step 5: Solve for x
x = 1,872,345,695,369,733,892,734,976/947,059,087,836 - Step 6: Final answer
x = 1,977,010,430,941.52
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Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.