Finding the Third Proportional to 353,243,464,370 and 770,420,277,340
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Solution
The third proportional to 353,243,464,370 and 770,420,277,340 is: 1,680,278,514,976.12
Step by Step Solution
- Step 1: Write the proportion equation
353,243,464,370 : 770,420,277,340 = 770,420,277,340 : x - Step 2: Convert to fraction form
353,243,464,370/770,420,277,340 = 770,420,277,340/x - Step 3: Cross multiply
353,243,464,370x = 770,420,277,340 × 770,420,277,340 - Step 4: Simplify right side
353,243,464,370x = 593,547,403,736,642,528,215,040 - Step 5: Solve for x
x = 593,547,403,736,642,528,215,040/353,243,464,370 - Step 6: Final answer
x = 1,680,278,514,976.12
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.