Finding the Third Proportional to 151,834,926,894 and 326,520,488,172
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Solution
The third proportional to 151,834,926,894 and 326,520,488,172 is: 702,181,187,010.50
Step by Step Solution
- Step 1: Write the proportion equation
151,834,926,894 : 326,520,488,172 = 326,520,488,172 : x - Step 2: Convert to fraction form
151,834,926,894/326,520,488,172 = 326,520,488,172/x - Step 3: Cross multiply
151,834,926,894x = 326,520,488,172 × 326,520,488,172 - Step 4: Simplify right side
151,834,926,894x = 106,615,629,196,081,191,976,960 - Step 5: Solve for x
x = 106,615,629,196,081,191,976,960/151,834,926,894 - Step 6: Final answer
x = 702,181,187,010.50
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.