Finding the Third Proportional to 53,295,918,742.65 and 118,508,044,243.68
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Solution
The third proportional to 53,295,918,742.65 and 118,508,044,243.68 is: 263,512,795,759.79
Step by Step Solution
- Step 1: Write the proportion equation
53,295,918,742.65 : 118,508,044,243.68 = 118,508,044,243.68 : x - Step 2: Convert to fraction form
53,295,918,742.65/118,508,044,243.68 = 118,508,044,243.68/x - Step 3: Cross multiply
53,295,918,742.65x = 118,508,044,243.68 × 118,508,044,243.68 - Step 4: Simplify right side
53,295,918,742.65x = 14,044,156,550,462,014,750,720 - Step 5: Solve for x
x = 14,044,156,550,462,014,750,720/53,295,918,742.65 - Step 6: Final answer
x = 263,512,795,759.79
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.