Finding the Third Proportional to 833,125,386,271 and 1,274,588,559,723
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Solution
The third proportional to 833,125,386,271 and 1,274,588,559,723 is: 1,949,977,786,474.88
Step by Step Solution
- Step 1: Write the proportion equation
833,125,386,271 : 1,274,588,559,723 = 1,274,588,559,723 : x - Step 2: Convert to fraction form
833,125,386,271/1,274,588,559,723 = 1,274,588,559,723/x - Step 3: Cross multiply
833,125,386,271x = 1,274,588,559,723 × 1,274,588,559,723 - Step 4: Simplify right side
833,125,386,271x = 1,624,575,996,576,751,480,209,408 - Step 5: Solve for x
x = 1,624,575,996,576,751,480,209,408/833,125,386,271 - Step 6: Final answer
x = 1,949,977,786,474.88
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.