Finding the Third Proportional to 421,650,523,602 and 642,355,406,464.50
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Solution
The third proportional to 421,650,523,602 and 642,355,406,464.50 is: 978,584,028,994.71
Step by Step Solution
- Step 1: Write the proportion equation
421,650,523,602 : 642,355,406,464.50 = 642,355,406,464.50 : x - Step 2: Convert to fraction form
421,650,523,602/642,355,406,464.50 = 642,355,406,464.50/x - Step 3: Cross multiply
421,650,523,602x = 642,355,406,464.50 × 642,355,406,464.50 - Step 4: Simplify right side
421,650,523,602x = 412,620,468,214,172,997,386,240 - Step 5: Solve for x
x = 412,620,468,214,172,997,386,240/421,650,523,602 - Step 6: Final answer
x = 978,584,028,994.71
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.