Finding the Third Proportional to 313,003,516,224 and 687,497,472,288
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Solution
The third proportional to 313,003,516,224 and 687,497,472,288 is: 1,510,055,797,788.98
Step by Step Solution
- Step 1: Write the proportion equation
313,003,516,224 : 687,497,472,288 = 687,497,472,288 : x - Step 2: Convert to fraction form
313,003,516,224/687,497,472,288 = 687,497,472,288/x - Step 3: Cross multiply
313,003,516,224x = 687,497,472,288 × 687,497,472,288 - Step 4: Simplify right side
313,003,516,224x = 472,652,774,402,389,348,188,160 - Step 5: Solve for x
x = 472,652,774,402,389,348,188,160/313,003,516,224 - Step 6: Final answer
x = 1,510,055,797,788.98
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.