Finding the Third Proportional to 37,456,926,922 and 54,118,791,008
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Solution
The third proportional to 37,456,926,922 and 54,118,791,008 is: 78,192,307,293.83
Step by Step Solution
- Step 1: Write the proportion equation
37,456,926,922 : 54,118,791,008 = 54,118,791,008 : x - Step 2: Convert to fraction form
37,456,926,922/54,118,791,008 = 54,118,791,008/x - Step 3: Cross multiply
37,456,926,922x = 54,118,791,008 × 54,118,791,008 - Step 4: Simplify right side
37,456,926,922x = 2,928,843,540,167,581,499,392 - Step 5: Solve for x
x = 2,928,843,540,167,581,499,392/37,456,926,922 - Step 6: Final answer
x = 78,192,307,293.83
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Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.