Finding the Third Proportional to 242,904,262,702 and 534,388,528,340
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Solution
The third proportional to 242,904,262,702 and 534,388,528,340 is: 1,175,652,893,221.29
Step by Step Solution
- Step 1: Write the proportion equation
242,904,262,702 : 534,388,528,340 = 534,388,528,340 : x - Step 2: Convert to fraction form
242,904,262,702/534,388,528,340 = 534,388,528,340/x - Step 3: Cross multiply
242,904,262,702x = 534,388,528,340 × 534,388,528,340 - Step 4: Simplify right side
242,904,262,702x = 285,571,099,221,390,985,789,440 - Step 5: Solve for x
x = 285,571,099,221,390,985,789,440/242,904,262,702 - Step 6: Final answer
x = 1,175,652,893,221.29
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.