Finding the Third Proportional to 611,466,172,410 and 1,330,287,553,596
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Solution
The third proportional to 611,466,172,410 and 1,330,287,553,596 is: 2,894,133,895,056.81
Step by Step Solution
- Step 1: Write the proportion equation
611,466,172,410 : 1,330,287,553,596 = 1,330,287,553,596 : x - Step 2: Convert to fraction form
611,466,172,410/1,330,287,553,596 = 1,330,287,553,596/x - Step 3: Cross multiply
611,466,172,410x = 1,330,287,553,596 × 1,330,287,553,596 - Step 4: Simplify right side
611,466,172,410x = 1,769,664,975,252,430,612,594,688 - Step 5: Solve for x
x = 1,769,664,975,252,430,612,594,688/611,466,172,410 - Step 6: Final answer
x = 2,894,133,895,056.81
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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.