Finding the Third Proportional to 512,812,832 and 1,209,344,336
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Solution
The third proportional to 512,812,832 and 1,209,344,336 is: 2,851,944,475.16
Step by Step Solution
- Step 1: Write the proportion equation
512,812,832 : 1,209,344,336 = 1,209,344,336 : x - Step 2: Convert to fraction form
512,812,832/1,209,344,336 = 1,209,344,336/x - Step 3: Cross multiply
512,812,832x = 1,209,344,336 × 1,209,344,336 - Step 4: Simplify right side
512,812,832x = 1,462,513,723,015,280,896 - Step 5: Solve for x
x = 1,462,513,723,015,280,896/512,812,832 - Step 6: Final answer
x = 2,851,944,475.16
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.