Finding the Third Proportional to 149,203,977,023 and 324,550,068,277
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Solution
The third proportional to 149,203,977,023 and 324,550,068,277 is: 705,964,739,816.34
Step by Step Solution
- Step 1: Write the proportion equation
149,203,977,023 : 324,550,068,277 = 324,550,068,277 : x - Step 2: Convert to fraction form
149,203,977,023/324,550,068,277 = 324,550,068,277/x - Step 3: Cross multiply
149,203,977,023x = 324,550,068,277 × 324,550,068,277 - Step 4: Simplify right side
149,203,977,023x = 105,332,746,818,605,369,262,080 - Step 5: Solve for x
x = 105,332,746,818,605,369,262,080/149,203,977,023 - Step 6: Final answer
x = 705,964,739,816.34
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.