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Finding the Third Proportional to 252,705,144 and 551,916,564

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Solution

The third proportional to 252,705,144 and 551,916,564 is: 1,205,404,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,705,144 : 551,916,564 = 551,916,564 : x
  2. Step 2: Convert to fraction form
    252,705,144/551,916,564 = 551,916,564/x
  3. Step 3: Cross multiply
    252,705,144x = 551,916,564 × 551,916,564
  4. Step 4: Simplify right side
    252,705,144x = 304,611,893,617,566,080
  5. Step 5: Solve for x
    x = 304,611,893,617,566,080/252,705,144
  6. Step 6: Final answer
    x = 1,205,404,404.50

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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.