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Finding the Third Proportional to 1,586,021,224 and 3,435,590,096

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Solution

The third proportional to 1,586,021,224 and 3,435,590,096 is: 7,442,068,951.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,021,224 : 3,435,590,096 = 3,435,590,096 : x
  2. Step 2: Convert to fraction form
    1,586,021,224/3,435,590,096 = 3,435,590,096/x
  3. Step 3: Cross multiply
    1,586,021,224x = 3,435,590,096 × 3,435,590,096
  4. Step 4: Simplify right side
    1,586,021,224x = 11,803,279,307,733,288,960
  5. Step 5: Solve for x
    x = 11,803,279,307,733,288,960/1,586,021,224
  6. Step 6: Final answer
    x = 7,442,068,951.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.