Finding the Third Proportional to 532,358,071,382 and 1,183,743,810,184
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Solution
The third proportional to 532,358,071,382 and 1,183,743,810,184 is: 2,632,155,842,986.08
Step by Step Solution
- Step 1: Write the proportion equation
532,358,071,382 : 1,183,743,810,184 = 1,183,743,810,184 : x - Step 2: Convert to fraction form
532,358,071,382/1,183,743,810,184 = 1,183,743,810,184/x - Step 3: Cross multiply
532,358,071,382x = 1,183,743,810,184 × 1,183,743,810,184 - Step 4: Simplify right side
532,358,071,382x = 1,401,249,408,148,933,791,711,232 - Step 5: Solve for x
x = 1,401,249,408,148,933,791,711,232/532,358,071,382 - Step 6: Final answer
x = 2,632,155,842,986.08
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.