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Finding the Third Proportional to 209,470,365 and 452,262,933

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Solution

The third proportional to 209,470,365 and 452,262,933 is: 976,471,113.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,470,365 : 452,262,933 = 452,262,933 : x
  2. Step 2: Convert to fraction form
    209,470,365/452,262,933 = 452,262,933/x
  3. Step 3: Cross multiply
    209,470,365x = 452,262,933 × 452,262,933
  4. Step 4: Simplify right side
    209,470,365x = 204,541,760,565,762,496
  5. Step 5: Solve for x
    x = 204,541,760,565,762,496/209,470,365
  6. Step 6: Final answer
    x = 976,471,113.54

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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.