Finding the Third Proportional to 968,282,367,048 and 2,118,967,907,040
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Solution
The third proportional to 968,282,367,048 and 2,118,967,907,040 is: 4,637,102,919,424.43
Step by Step Solution
- Step 1: Write the proportion equation
968,282,367,048 : 2,118,967,907,040 = 2,118,967,907,040 : x - Step 2: Convert to fraction form
968,282,367,048/2,118,967,907,040 = 2,118,967,907,040/x - Step 3: Cross multiply
968,282,367,048x = 2,118,967,907,040 × 2,118,967,907,040 - Step 4: Simplify right side
968,282,367,048x = 4,490,024,991,065,478,117,982,208 - Step 5: Solve for x
x = 4,490,024,991,065,478,117,982,208/968,282,367,048 - Step 6: Final answer
x = 4,637,102,919,424.43
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.