Finding the Third Proportional to 246,767,775,496 and 537,344,103,600
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Solution
The third proportional to 246,767,775,496 and 537,344,103,600 is: 1,170,082,621,579.44
Step by Step Solution
- Step 1: Write the proportion equation
246,767,775,496 : 537,344,103,600 = 537,344,103,600 : x - Step 2: Convert to fraction form
246,767,775,496/537,344,103,600 = 537,344,103,600/x - Step 3: Cross multiply
246,767,775,496x = 537,344,103,600 × 537,344,103,600 - Step 4: Simplify right side
246,767,775,496x = 288,738,685,673,687,541,088,256 - Step 5: Solve for x
x = 288,738,685,673,687,541,088,256/246,767,775,496 - Step 6: Final answer
x = 1,170,082,621,579.44
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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.