Finding the Third Proportional to 6,239,262,812,906 and 13,586,178,866,260
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Solution
The third proportional to 6,239,262,812,906 and 13,586,178,866,260 is: 29,584,305,345,207.58
Step by Step Solution
- Step 1: Write the proportion equation
6,239,262,812,906 : 13,586,178,866,260 = 13,586,178,866,260 : x - Step 2: Convert to fraction form
6,239,262,812,906/13,586,178,866,260 = 13,586,178,866,260/x - Step 3: Cross multiply
6,239,262,812,906x = 13,586,178,866,260 × 13,586,178,866,260 - Step 4: Simplify right side
6,239,262,812,906x = 184,584,256,186,009,849,681,674,240 - Step 5: Solve for x
x = 184,584,256,186,009,849,681,674,240/6,239,262,812,906 - Step 6: Final answer
x = 29,584,305,345,207.58
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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.