Finding the Third Proportional to 344,914,908,940 and 754,851,491,172
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Solution
The third proportional to 344,914,908,940 and 754,851,491,172 is: 1,652,003,897,064.69
Step by Step Solution
- Step 1: Write the proportion equation
344,914,908,940 : 754,851,491,172 = 754,851,491,172 : x - Step 2: Convert to fraction form
344,914,908,940/754,851,491,172 = 754,851,491,172/x - Step 3: Cross multiply
344,914,908,940x = 754,851,491,172 × 754,851,491,172 - Step 4: Simplify right side
344,914,908,940x = 569,800,773,724,591,961,931,776 - Step 5: Solve for x
x = 569,800,773,724,591,961,931,776/344,914,908,940 - Step 6: Final answer
x = 1,652,003,897,064.69
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.