Finding the Third Proportional to 11,317,376,134,750 and 24,617,673,681,074
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Solution
The third proportional to 11,317,376,134,750 and 24,617,673,681,074 is: 53,548,618,535,972.23
Step by Step Solution
- Step 1: Write the proportion equation
11,317,376,134,750 : 24,617,673,681,074 = 24,617,673,681,074 : x - Step 2: Convert to fraction form
11,317,376,134,750/24,617,673,681,074 = 24,617,673,681,074/x - Step 3: Cross multiply
11,317,376,134,750x = 24,617,673,681,074 × 24,617,673,681,074 - Step 4: Simplify right side
11,317,376,134,750x = 606,029,857,467,843,534,630,420,480 - Step 5: Solve for x
x = 606,029,857,467,843,534,630,420,480/11,317,376,134,750 - Step 6: Final answer
x = 53,548,618,535,972.23
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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.