Finding the Third Proportional to 307,417,513 and 669,418,324
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Solution
The third proportional to 307,417,513 and 669,418,324 is: 1,457,694,742.68
Step by Step Solution
- Step 1: Write the proportion equation
307,417,513 : 669,418,324 = 669,418,324 : x - Step 2: Convert to fraction form
307,417,513/669,418,324 = 669,418,324/x - Step 3: Cross multiply
307,417,513x = 669,418,324 × 669,418,324 - Step 4: Simplify right side
307,417,513x = 448,120,892,506,968,960 - Step 5: Solve for x
x = 448,120,892,506,968,960/307,417,513 - Step 6: Final answer
x = 1,457,694,742.68
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.