Finding the Third Proportional to 9,322,006,624 and 19,973,678,624
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Solution
The third proportional to 9,322,006,624 and 19,973,678,624 is: 42,796,347,810.75
Step by Step Solution
- Step 1: Write the proportion equation
9,322,006,624 : 19,973,678,624 = 19,973,678,624 : x - Step 2: Convert to fraction form
9,322,006,624/19,973,678,624 = 19,973,678,624/x - Step 3: Cross multiply
9,322,006,624x = 19,973,678,624 × 19,973,678,624 - Step 4: Simplify right side
9,322,006,624x = 398,947,837,774,834,565,120 - Step 5: Solve for x
x = 398,947,837,774,834,565,120/9,322,006,624 - Step 6: Final answer
x = 42,796,347,810.75
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.