Finding the Third Proportional to 124,196,175,726 and 270,152,805,612
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Solution
The third proportional to 124,196,175,726 and 270,152,805,612 is: 587,639,176,113.19
Step by Step Solution
- Step 1: Write the proportion equation
124,196,175,726 : 270,152,805,612 = 270,152,805,612 : x - Step 2: Convert to fraction form
124,196,175,726/270,152,805,612 = 270,152,805,612/x - Step 3: Cross multiply
124,196,175,726x = 270,152,805,612 × 270,152,805,612 - Step 4: Simplify right side
124,196,175,726x = 72,982,538,380,035,059,875,840 - Step 5: Solve for x
x = 72,982,538,380,035,059,875,840/124,196,175,726 - Step 6: Final answer
x = 587,639,176,113.19
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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.