Finding the Third Proportional to 2,575,414,778 and 5,578,681,652
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Solution
The third proportional to 2,575,414,778 and 5,578,681,652 is: 12,084,146,305.37
Step by Step Solution
- Step 1: Write the proportion equation
2,575,414,778 : 5,578,681,652 = 5,578,681,652 : x - Step 2: Convert to fraction form
2,575,414,778/5,578,681,652 = 5,578,681,652/x - Step 3: Cross multiply
2,575,414,778x = 5,578,681,652 × 5,578,681,652 - Step 4: Simplify right side
2,575,414,778x = 31,121,688,974,361,448,448 - Step 5: Solve for x
x = 31,121,688,974,361,448,448/2,575,414,778 - Step 6: Final answer
x = 12,084,146,305.37
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.