Finding the Third Proportional to 6,549,407,749.13 and 14,246,339,455.69
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Solution
The third proportional to 6,549,407,749.13 and 14,246,339,455.69 is: 30,988,784,888.80
Step by Step Solution
- Step 1: Write the proportion equation
6,549,407,749.13 : 14,246,339,455.69 = 14,246,339,455.69 : x - Step 2: Convert to fraction form
6,549,407,749.13/14,246,339,455.69 = 14,246,339,455.69/x - Step 3: Cross multiply
6,549,407,749.13x = 14,246,339,455.69 × 14,246,339,455.69 - Step 4: Simplify right side
6,549,407,749.13x = 202,958,187,886,692,663,296 - Step 5: Solve for x
x = 202,958,187,886,692,663,296/6,549,407,749.13 - Step 6: Final answer
x = 30,988,784,888.80
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.