Finding the Third Proportional to 2,918,522,328,780 and 6,276,272,232,352
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Solution
The third proportional to 2,918,522,328,780 and 6,276,272,232,352 is: 13,497,101,853,957.45
Step by Step Solution
- Step 1: Write the proportion equation
2,918,522,328,780 : 6,276,272,232,352 = 6,276,272,232,352 : x - Step 2: Convert to fraction form
2,918,522,328,780/6,276,272,232,352 = 6,276,272,232,352/x - Step 3: Cross multiply
2,918,522,328,780x = 6,276,272,232,352 × 6,276,272,232,352 - Step 4: Simplify right side
2,918,522,328,780x = 39,391,593,134,592,758,973,988,864 - Step 5: Solve for x
x = 39,391,593,134,592,758,973,988,864/2,918,522,328,780 - Step 6: Final answer
x = 13,497,101,853,957.45
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.