Finding the Third Proportional to 22,171,102,942 and 45,913,766,012
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Solution
The third proportional to 22,171,102,942 and 45,913,766,012 is: 95,082,049,590.38
Step by Step Solution
- Step 1: Write the proportion equation
22,171,102,942 : 45,913,766,012 = 45,913,766,012 : x - Step 2: Convert to fraction form
22,171,102,942/45,913,766,012 = 45,913,766,012/x - Step 3: Cross multiply
22,171,102,942x = 45,913,766,012 × 45,913,766,012 - Step 4: Simplify right side
22,171,102,942x = 2,108,073,909,404,686,352,384 - Step 5: Solve for x
x = 2,108,073,909,404,686,352,384/22,171,102,942 - Step 6: Final answer
x = 95,082,049,590.38
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Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.