Finding the Third Proportional to 9,811,827,042,378 and 21,470,186,228,772
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Solution
The third proportional to 9,811,827,042,378 and 21,470,186,228,772 is: 46,980,943,988,025.10
Step by Step Solution
- Step 1: Write the proportion equation
9,811,827,042,378 : 21,470,186,228,772 = 21,470,186,228,772 : x - Step 2: Convert to fraction form
9,811,827,042,378/21,470,186,228,772 = 21,470,186,228,772/x - Step 3: Cross multiply
9,811,827,042,378x = 21,470,186,228,772 × 21,470,186,228,772 - Step 4: Simplify right side
9,811,827,042,378x = 460,968,896,698,150,812,471,263,232 - Step 5: Solve for x
x = 460,968,896,698,150,812,471,263,232/9,811,827,042,378 - Step 6: Final answer
x = 46,980,943,988,025.10
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.