Finding the Third Proportional to 598,588,156,254 and 1,302,551,967,804
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Solution
The third proportional to 598,588,156,254 and 1,302,551,967,804 is: 2,834,405,611,109.58
Step by Step Solution
- Step 1: Write the proportion equation
598,588,156,254 : 1,302,551,967,804 = 1,302,551,967,804 : x - Step 2: Convert to fraction form
598,588,156,254/1,302,551,967,804 = 1,302,551,967,804/x - Step 3: Cross multiply
598,588,156,254x = 1,302,551,967,804 × 1,302,551,967,804 - Step 4: Simplify right side
598,588,156,254x = 1,696,641,628,830,072,553,078,784 - Step 5: Solve for x
x = 1,696,641,628,830,072,553,078,784/598,588,156,254 - Step 6: Final answer
x = 2,834,405,611,109.58
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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.