Finding the Third Proportional to 294,204,749,513 and 420,713,292,823
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Solution
The third proportional to 294,204,749,513 and 420,713,292,823 is: 601,620,725,195.50
Step by Step Solution
- Step 1: Write the proportion equation
294,204,749,513 : 420,713,292,823 = 420,713,292,823 : x - Step 2: Convert to fraction form
294,204,749,513/420,713,292,823 = 420,713,292,823/x - Step 3: Cross multiply
294,204,749,513x = 420,713,292,823 × 420,713,292,823 - Step 4: Simplify right side
294,204,749,513x = 176,999,674,757,971,334,660,096 - Step 5: Solve for x
x = 176,999,674,757,971,334,660,096/294,204,749,513 - Step 6: Final answer
x = 601,620,725,195.50
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.