Finding the Third Proportional to 359,887,347,216 and 749,562,357,600
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Solution
The third proportional to 359,887,347,216 and 749,562,357,600 is: 1,561,165,548,822.86
Step by Step Solution
- Step 1: Write the proportion equation
359,887,347,216 : 749,562,357,600 = 749,562,357,600 : x - Step 2: Convert to fraction form
359,887,347,216/749,562,357,600 = 749,562,357,600/x - Step 3: Cross multiply
359,887,347,216x = 749,562,357,600 × 749,562,357,600 - Step 4: Simplify right side
359,887,347,216x = 561,843,727,930,870,296,739,840 - Step 5: Solve for x
x = 561,843,727,930,870,296,739,840/359,887,347,216 - Step 6: Final answer
x = 1,561,165,548,822.86
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.