Finding the Third Proportional to 7,784,875,971 and 16,121,634,102
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Solution
The third proportional to 7,784,875,971 and 16,121,634,102 is: 33,386,156,322.46
Step by Step Solution
- Step 1: Write the proportion equation
7,784,875,971 : 16,121,634,102 = 16,121,634,102 : x - Step 2: Convert to fraction form
7,784,875,971/16,121,634,102 = 16,121,634,102/x - Step 3: Cross multiply
7,784,875,971x = 16,121,634,102 × 16,121,634,102 - Step 4: Simplify right side
7,784,875,971x = 259,907,086,118,769,360,896 - Step 5: Solve for x
x = 259,907,086,118,769,360,896/7,784,875,971 - Step 6: Final answer
x = 33,386,156,322.46
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Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.