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Finding the Third Proportional to 473,529,543,916 and 684,168,417,744

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Solution

The third proportional to 473,529,543,916 and 684,168,417,744 is: 988,505,215,466.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,529,543,916 : 684,168,417,744 = 684,168,417,744 : x
  2. Step 2: Convert to fraction form
    473,529,543,916/684,168,417,744 = 684,168,417,744/x
  3. Step 3: Cross multiply
    473,529,543,916x = 684,168,417,744 × 684,168,417,744
  4. Step 4: Simplify right side
    473,529,543,916x = 468,086,423,838,328,491,081,728
  5. Step 5: Solve for x
    x = 468,086,423,838,328,491,081,728/473,529,543,916
  6. Step 6: Final answer
    x = 988,505,215,466.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.