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Finding the Third Proportional to 473,529,543,840 and 684,168,417,648

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Solution

The third proportional to 473,529,543,840 and 684,168,417,648 is: 988,505,215,347.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,529,543,840 : 684,168,417,648 = 684,168,417,648 : x
  2. Step 2: Convert to fraction form
    473,529,543,840/684,168,417,648 = 684,168,417,648/x
  3. Step 3: Cross multiply
    473,529,543,840x = 684,168,417,648 × 684,168,417,648
  4. Step 4: Simplify right side
    473,529,543,840x = 468,086,423,706,968,191,401,984
  5. Step 5: Solve for x
    x = 468,086,423,706,968,191,401,984/473,529,543,840
  6. Step 6: Final answer
    x = 988,505,215,347.51

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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.