Finding the Third Proportional to 115,115,566,434 and 256,699,931,844
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Solution
The third proportional to 115,115,566,434 and 256,699,931,844 is: 572,423,496,230.58
Step by Step Solution
- Step 1: Write the proportion equation
115,115,566,434 : 256,699,931,844 = 256,699,931,844 : x - Step 2: Convert to fraction form
115,115,566,434/256,699,931,844 = 256,699,931,844/x - Step 3: Cross multiply
115,115,566,434x = 256,699,931,844 × 256,699,931,844 - Step 4: Simplify right side
115,115,566,434x = 65,894,855,008,714,248,683,520 - Step 5: Solve for x
x = 65,894,855,008,714,248,683,520/115,115,566,434 - Step 6: Final answer
x = 572,423,496,230.58
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.