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Finding the Third Proportional to 199,699,558,744 and 427,674,849,236

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Solution

The third proportional to 199,699,558,744 and 427,674,849,236 is: 915,904,761,229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,699,558,744 : 427,674,849,236 = 427,674,849,236 : x
  2. Step 2: Convert to fraction form
    199,699,558,744/427,674,849,236 = 427,674,849,236/x
  3. Step 3: Cross multiply
    199,699,558,744x = 427,674,849,236 × 427,674,849,236
  4. Step 4: Simplify right side
    199,699,558,744x = 182,905,776,669,035,344,166,912
  5. Step 5: Solve for x
    x = 182,905,776,669,035,344,166,912/199,699,558,744
  6. Step 6: Final answer
    x = 915,904,761,229.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.