Finding the Third Proportional to 269,668,894,039.98 and 586,810,376,582.05
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Solution
The third proportional to 269,668,894,039.98 and 586,810,376,582.05 is: 1,276,923,018,096.84
Step by Step Solution
- Step 1: Write the proportion equation
269,668,894,039.98 : 586,810,376,582.05 = 586,810,376,582.05 : x - Step 2: Convert to fraction form
269,668,894,039.98/586,810,376,582.05 = 586,810,376,582.05/x - Step 3: Cross multiply
269,668,894,039.98x = 586,810,376,582.05 × 586,810,376,582.05 - Step 4: Simplify right side
269,668,894,039.98x = 344,346,418,064,367,395,274,752 - Step 5: Solve for x
x = 344,346,418,064,367,395,274,752/269,668,894,039.98 - Step 6: Final answer
x = 1,276,923,018,096.84
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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.