Finding the Third Proportional to 269,915,510,368 and 562,171,768,124
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Solution
The third proportional to 269,915,510,368 and 562,171,768,124 is: 1,170,874,161,491.43
Step by Step Solution
- Step 1: Write the proportion equation
269,915,510,368 : 562,171,768,124 = 562,171,768,124 : x - Step 2: Convert to fraction form
269,915,510,368/562,171,768,124 = 562,171,768,124/x - Step 3: Cross multiply
269,915,510,368x = 562,171,768,124 × 562,171,768,124 - Step 4: Simplify right side
269,915,510,368x = 316,037,096,875,664,418,537,472 - Step 5: Solve for x
x = 316,037,096,875,664,418,537,472/269,915,510,368 - Step 6: Final answer
x = 1,170,874,161,491.43
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.