Finding the Third Proportional to 829,562,813 and 1,777,451,429
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Solution
The third proportional to 829,562,813 and 1,777,451,429 is: 3,808,432,023.40
Step by Step Solution
- Step 1: Write the proportion equation
829,562,813 : 1,777,451,429 = 1,777,451,429 : x - Step 2: Convert to fraction form
829,562,813/1,777,451,429 = 1,777,451,429/x - Step 3: Cross multiply
829,562,813x = 1,777,451,429 × 1,777,451,429 - Step 4: Simplify right side
829,562,813x = 3,159,333,582,454,141,952 - Step 5: Solve for x
x = 3,159,333,582,454,141,952/829,562,813 - Step 6: Final answer
x = 3,808,432,023.40
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.