Finding the Third Proportional to 598,588,156,248 and 1,302,551,967,792
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Solution
The third proportional to 598,588,156,248 and 1,302,551,967,792 is: 2,834,405,611,085.76
Step by Step Solution
- Step 1: Write the proportion equation
598,588,156,248 : 1,302,551,967,792 = 1,302,551,967,792 : x - Step 2: Convert to fraction form
598,588,156,248/1,302,551,967,792 = 1,302,551,967,792/x - Step 3: Cross multiply
598,588,156,248x = 1,302,551,967,792 × 1,302,551,967,792 - Step 4: Simplify right side
598,588,156,248x = 1,696,641,628,798,811,365,179,392 - Step 5: Solve for x
x = 1,696,641,628,798,811,365,179,392/598,588,156,248 - Step 6: Final answer
x = 2,834,405,611,085.76
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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.