Finding the Third Proportional to 7,287,717,444,785 and 15,178,634,975,774
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Solution
The third proportional to 7,287,717,444,785 and 15,178,634,975,774 is: 31,613,596,640,283.39
Step by Step Solution
- Step 1: Write the proportion equation
7,287,717,444,785 : 15,178,634,975,774 = 15,178,634,975,774 : x - Step 2: Convert to fraction form
7,287,717,444,785/15,178,634,975,774 = 15,178,634,975,774/x - Step 3: Cross multiply
7,287,717,444,785x = 15,178,634,975,774 × 15,178,634,975,774 - Step 4: Simplify right side
7,287,717,444,785x = 230,390,959,727,789,768,030,814,208 - Step 5: Solve for x
x = 230,390,959,727,789,768,030,814,208/7,287,717,444,785 - Step 6: Final answer
x = 31,613,596,640,283.39
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.