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Finding the Third Proportional to 511,805,568 and 1,105,164,120

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Solution

The third proportional to 511,805,568 and 1,105,164,120 is: 2,386,429,160.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,805,568 : 1,105,164,120 = 1,105,164,120 : x
  2. Step 2: Convert to fraction form
    511,805,568/1,105,164,120 = 1,105,164,120/x
  3. Step 3: Cross multiply
    511,805,568x = 1,105,164,120 × 1,105,164,120
  4. Step 4: Simplify right side
    511,805,568x = 1,221,387,732,135,374,336
  5. Step 5: Solve for x
    x = 1,221,387,732,135,374,336/511,805,568
  6. Step 6: Final answer
    x = 2,386,429,160.80

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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.