Finding the Third Proportional to 949,475,477,966 and 1,281,065,351,433
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Solution
The third proportional to 949,475,477,966 and 1,281,065,351,433 is: 1,728,457,946,231.36
Step by Step Solution
- Step 1: Write the proportion equation
949,475,477,966 : 1,281,065,351,433 = 1,281,065,351,433 : x - Step 2: Convert to fraction form
949,475,477,966/1,281,065,351,433 = 1,281,065,351,433/x - Step 3: Cross multiply
949,475,477,966x = 1,281,065,351,433 × 1,281,065,351,433 - Step 4: Simplify right side
949,475,477,966x = 1,641,128,434,642,155,691,048,960 - Step 5: Solve for x
x = 1,641,128,434,642,155,691,048,960/949,475,477,966 - Step 6: Final answer
x = 1,728,457,946,231.36
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.