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Finding the Third Proportional to 479,340,864 and 1,032,729,264

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Solution

The third proportional to 479,340,864 and 1,032,729,264 is: 2,224,992,302.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,340,864 : 1,032,729,264 = 1,032,729,264 : x
  2. Step 2: Convert to fraction form
    479,340,864/1,032,729,264 = 1,032,729,264/x
  3. Step 3: Cross multiply
    479,340,864x = 1,032,729,264 × 1,032,729,264
  4. Step 4: Simplify right side
    479,340,864x = 1,066,529,732,721,981,696
  5. Step 5: Solve for x
    x = 1,066,529,732,721,981,696/479,340,864
  6. Step 6: Final answer
    x = 2,224,992,302.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.