Finding the Third Proportional to 346,289,514,634.68 and 744,694,410,457.12
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Solution
The third proportional to 346,289,514,634.68 and 744,694,410,457.12 is: 1,601,462,768,952.52
Step by Step Solution
- Step 1: Write the proportion equation
346,289,514,634.68 : 744,694,410,457.12 = 744,694,410,457.12 : x - Step 2: Convert to fraction form
346,289,514,634.68/744,694,410,457.12 = 744,694,410,457.12/x - Step 3: Cross multiply
346,289,514,634.68x = 744,694,410,457.12 × 744,694,410,457.12 - Step 4: Simplify right side
346,289,514,634.68x = 554,569,764,966,077,531,422,720 - Step 5: Solve for x
x = 554,569,764,966,077,531,422,720/346,289,514,634.68 - Step 6: Final answer
x = 1,601,462,768,952.52
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.