Finding the Third Proportional to 513,106,363.50 and 1,120,265,329.50
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Solution
The third proportional to 513,106,363.50 and 1,120,265,329.50 is: 2,445,875,743.81
Step by Step Solution
- Step 1: Write the proportion equation
513,106,363.50 : 1,120,265,329.50 = 1,120,265,329.50 : x - Step 2: Convert to fraction form
513,106,363.50/1,120,265,329.50 = 1,120,265,329.50/x - Step 3: Cross multiply
513,106,363.50x = 1,120,265,329.50 × 1,120,265,329.50 - Step 4: Simplify right side
513,106,363.50x = 1,254,994,408,479,743,488 - Step 5: Solve for x
x = 1,254,994,408,479,743,488/513,106,363.50 - Step 6: Final answer
x = 2,445,875,743.81
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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.