Finding the Third Proportional to 5,040,890,817,301 and 10,846,325,810,237
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Solution
The third proportional to 5,040,890,817,301 and 10,846,325,810,237 is: 23,337,697,213,763.85
Step by Step Solution
- Step 1: Write the proportion equation
5,040,890,817,301 : 10,846,325,810,237 = 10,846,325,810,237 : x - Step 2: Convert to fraction form
5,040,890,817,301/10,846,325,810,237 = 10,846,325,810,237/x - Step 3: Cross multiply
5,040,890,817,301x = 10,846,325,810,237 × 10,846,325,810,237 - Step 4: Simplify right side
5,040,890,817,301x = 117,642,783,581,813,312,931,758,080 - Step 5: Solve for x
x = 117,642,783,581,813,312,931,758,080/5,040,890,817,301 - Step 6: Final answer
x = 23,337,697,213,763.85
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.