Finding the Third Proportional to 283,157,733,214 and 606,704,010,428
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Solution
The third proportional to 283,157,733,214 and 606,704,010,428 is: 1,299,945,977,428.88
Step by Step Solution
- Step 1: Write the proportion equation
283,157,733,214 : 606,704,010,428 = 606,704,010,428 : x - Step 2: Convert to fraction form
283,157,733,214/606,704,010,428 = 606,704,010,428/x - Step 3: Cross multiply
283,157,733,214x = 606,704,010,428 × 606,704,010,428 - Step 4: Simplify right side
283,157,733,214x = 368,089,756,269,418,702,176,256 - Step 5: Solve for x
x = 368,089,756,269,418,702,176,256/283,157,733,214 - Step 6: Final answer
x = 1,299,945,977,428.88
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.