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Finding the Third Proportional to 209,470,368 and 452,262,936

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Solution

The third proportional to 209,470,368 and 452,262,936 is: 976,471,112.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,470,368 : 452,262,936 = 452,262,936 : x
  2. Step 2: Convert to fraction form
    209,470,368/452,262,936 = 452,262,936/x
  3. Step 3: Cross multiply
    209,470,368x = 452,262,936 × 452,262,936
  4. Step 4: Simplify right side
    209,470,368x = 204,541,763,279,340,096
  5. Step 5: Solve for x
    x = 204,541,763,279,340,096/209,470,368
  6. Step 6: Final answer
    x = 976,471,112.51

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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.