Finding the Third Proportional to 14,514,030,798,400 and 31,098,289,891,584
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Solution
The third proportional to 14,514,030,798,400 and 31,098,289,891,584 is: 66,632,326,168,662.07
Step by Step Solution
- Step 1: Write the proportion equation
14,514,030,798,400 : 31,098,289,891,584 = 31,098,289,891,584 : x - Step 2: Convert to fraction form
14,514,030,798,400/31,098,289,891,584 = 31,098,289,891,584/x - Step 3: Cross multiply
14,514,030,798,400x = 31,098,289,891,584 × 31,098,289,891,584 - Step 4: Simplify right side
14,514,030,798,400x = 967,103,634,180,995,538,478,956,544 - Step 5: Solve for x
x = 967,103,634,180,995,538,478,956,544/14,514,030,798,400 - Step 6: Final answer
x = 66,632,326,168,662.07
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.