Finding the Third Proportional to 838,325,775,502 and 1,823,535,089,803
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Solution
The third proportional to 838,325,775,502 and 1,823,535,089,803 is: 3,966,572,806,080.81
Step by Step Solution
- Step 1: Write the proportion equation
838,325,775,502 : 1,823,535,089,803 = 1,823,535,089,803 : x - Step 2: Convert to fraction form
838,325,775,502/1,823,535,089,803 = 1,823,535,089,803/x - Step 3: Cross multiply
838,325,775,502x = 1,823,535,089,803 × 1,823,535,089,803 - Step 4: Simplify right side
838,325,775,502x = 3,325,280,223,742,835,491,340,288 - Step 5: Solve for x
x = 3,325,280,223,742,835,491,340,288/838,325,775,502 - Step 6: Final answer
x = 3,966,572,806,080.81
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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.