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Finding the Third Proportional to 252,705,146 and 551,916,568

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Solution

The third proportional to 252,705,146 and 551,916,568 is: 1,205,404,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,705,146 : 551,916,568 = 551,916,568 : x
  2. Step 2: Convert to fraction form
    252,705,146/551,916,568 = 551,916,568/x
  3. Step 3: Cross multiply
    252,705,146x = 551,916,568 × 551,916,568
  4. Step 4: Simplify right side
    252,705,146x = 304,611,898,032,898,624
  5. Step 5: Solve for x
    x = 304,611,898,032,898,624/252,705,146
  6. Step 6: Final answer
    x = 1,205,404,412.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.