Finding the Third Proportional to 596,526,652,566 and 1,308,543,937,110
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Solution
The third proportional to 596,526,652,566 and 1,308,543,937,110 is: 2,870,428,719,289.94
Step by Step Solution
- Step 1: Write the proportion equation
596,526,652,566 : 1,308,543,937,110 = 1,308,543,937,110 : x - Step 2: Convert to fraction form
596,526,652,566/1,308,543,937,110 = 1,308,543,937,110/x - Step 3: Cross multiply
596,526,652,566x = 1,308,543,937,110 × 1,308,543,937,110 - Step 4: Simplify right side
596,526,652,566x = 1,712,287,235,347,339,754,340,352 - Step 5: Solve for x
x = 1,712,287,235,347,339,754,340,352/596,526,652,566 - Step 6: Final answer
x = 2,870,428,719,289.94
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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.