Finding the Third Proportional to 413,729,188 and 617,006,007
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Solution
The third proportional to 413,729,188 and 617,006,007 is: 920,158,460.45
Step by Step Solution
- Step 1: Write the proportion equation
413,729,188 : 617,006,007 = 617,006,007 : x - Step 2: Convert to fraction form
413,729,188/617,006,007 = 617,006,007/x - Step 3: Cross multiply
413,729,188x = 617,006,007 × 617,006,007 - Step 4: Simplify right side
413,729,188x = 380,696,412,674,084,032 - Step 5: Solve for x
x = 380,696,412,674,084,032/413,729,188 - Step 6: Final answer
x = 920,158,460.45
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.