Finding the Third Proportional to 499,733,953,864 and 761,310,111,300
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Solution
The third proportional to 499,733,953,864 and 761,310,111,300 is: 1,159,803,293,504.75
Step by Step Solution
- Step 1: Write the proportion equation
499,733,953,864 : 761,310,111,300 = 761,310,111,300 : x - Step 2: Convert to fraction form
499,733,953,864/761,310,111,300 = 761,310,111,300/x - Step 3: Cross multiply
499,733,953,864x = 761,310,111,300 × 761,310,111,300 - Step 4: Simplify right side
499,733,953,864x = 579,593,085,567,618,374,434,816 - Step 5: Solve for x
x = 579,593,085,567,618,374,434,816/499,733,953,864 - Step 6: Final answer
x = 1,159,803,293,504.75
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.