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Finding the Third Proportional to 232,828,906 and 388,024,791

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Solution

The third proportional to 232,828,906 and 388,024,791 is: 646,669,011.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,828,906 : 388,024,791 = 388,024,791 : x
  2. Step 2: Convert to fraction form
    232,828,906/388,024,791 = 388,024,791/x
  3. Step 3: Cross multiply
    232,828,906x = 388,024,791 × 388,024,791
  4. Step 4: Simplify right side
    232,828,906x = 150,563,238,430,593,696
  5. Step 5: Solve for x
    x = 150,563,238,430,593,696/232,828,906
  6. Step 6: Final answer
    x = 646,669,011.24

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.