Finding the Third Proportional to 359,558,431,385.49 and 782,413,646,926.05
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Solution
The third proportional to 359,558,431,385.49 and 782,413,646,926.05 is: 1,702,563,648,798.99
Step by Step Solution
- Step 1: Write the proportion equation
359,558,431,385.49 : 782,413,646,926.05 = 782,413,646,926.05 : x - Step 2: Convert to fraction form
359,558,431,385.49/782,413,646,926.05 = 782,413,646,926.05/x - Step 3: Cross multiply
359,558,431,385.49x = 782,413,646,926.05 × 782,413,646,926.05 - Step 4: Simplify right side
359,558,431,385.49x = 612,171,114,896,121,728,598,016 - Step 5: Solve for x
x = 612,171,114,896,121,728,598,016/359,558,431,385.49 - Step 6: Final answer
x = 1,702,563,648,798.99
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.