Finding the Third Proportional to 324,280,258,752.09 and 697,363,581,369.68
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Solution
The third proportional to 324,280,258,752.09 and 697,363,581,369.68 is: 1,499,677,983,766.91
Step by Step Solution
- Step 1: Write the proportion equation
324,280,258,752.09 : 697,363,581,369.68 = 697,363,581,369.68 : x - Step 2: Convert to fraction form
324,280,258,752.09/697,363,581,369.68 = 697,363,581,369.68/x - Step 3: Cross multiply
324,280,258,752.09x = 697,363,581,369.68 × 697,363,581,369.68 - Step 4: Simplify right side
324,280,258,752.09x = 486,315,964,620,746,400,989,184 - Step 5: Solve for x
x = 486,315,964,620,746,400,989,184/324,280,258,752.09 - Step 6: Final answer
x = 1,499,677,983,766.91
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.