Finding the Third Proportional to 9,811,827,042,380 and 21,470,186,228,776
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Solution
The third proportional to 9,811,827,042,380 and 21,470,186,228,776 is: 46,980,943,988,033.03
Step by Step Solution
- Step 1: Write the proportion equation
9,811,827,042,380 : 21,470,186,228,776 = 21,470,186,228,776 : x - Step 2: Convert to fraction form
9,811,827,042,380/21,470,186,228,776 = 21,470,186,228,776/x - Step 3: Cross multiply
9,811,827,042,380x = 21,470,186,228,776 × 21,470,186,228,776 - Step 4: Simplify right side
9,811,827,042,380x = 460,968,896,698,322,611,163,103,232 - Step 5: Solve for x
x = 460,968,896,698,322,611,163,103,232/9,811,827,042,380 - Step 6: Final answer
x = 46,980,943,988,033.03
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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.