Finding the Third Proportional to 538,127,204,985 and 756,839,908,831.50
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Solution
The third proportional to 538,127,204,985 and 756,839,908,831.50 is: 1,064,444,693,176.29
Step by Step Solution
- Step 1: Write the proportion equation
538,127,204,985 : 756,839,908,831.50 = 756,839,908,831.50 : x - Step 2: Convert to fraction form
538,127,204,985/756,839,908,831.50 = 756,839,908,831.50/x - Step 3: Cross multiply
538,127,204,985x = 756,839,908,831.50 × 756,839,908,831.50 - Step 4: Simplify right side
538,127,204,985x = 572,806,647,600,073,234,448,384 - Step 5: Solve for x
x = 572,806,647,600,073,234,448,384/538,127,204,985 - Step 6: Final answer
x = 1,064,444,693,176.29
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.