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Finding the Third Proportional to 216,674,138 and 468,689,224

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Solution

The third proportional to 216,674,138 and 468,689,224 is: 1,013,824,680.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,674,138 : 468,689,224 = 468,689,224 : x
  2. Step 2: Convert to fraction form
    216,674,138/468,689,224 = 468,689,224/x
  3. Step 3: Cross multiply
    216,674,138x = 468,689,224 × 468,689,224
  4. Step 4: Simplify right side
    216,674,138x = 219,669,588,693,722,176
  5. Step 5: Solve for x
    x = 219,669,588,693,722,176/216,674,138
  6. Step 6: Final answer
    x = 1,013,824,680.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.