Finding the Third Proportional to 9,184,660,114,350 and 19,679,386,571,543
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Solution
The third proportional to 9,184,660,114,350 and 19,679,386,571,543 is: 42,165,768,902,776.07
Step by Step Solution
- Step 1: Write the proportion equation
9,184,660,114,350 : 19,679,386,571,543 = 19,679,386,571,543 : x - Step 2: Convert to fraction form
9,184,660,114,350/19,679,386,571,543 = 19,679,386,571,543/x - Step 3: Cross multiply
9,184,660,114,350x = 19,679,386,571,543 × 19,679,386,571,543 - Step 4: Simplify right side
9,184,660,114,350x = 387,278,255,832,226,957,237,420,032 - Step 5: Solve for x
x = 387,278,255,832,226,957,237,420,032/9,184,660,114,350 - Step 6: Final answer
x = 42,165,768,902,776.07
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.