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Finding the Third Proportional to 229,959,427,512 and 500,411,859,756

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Solution

The third proportional to 229,959,427,512 and 500,411,859,756 is: 1,088,940,045,179.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,959,427,512 : 500,411,859,756 = 500,411,859,756 : x
  2. Step 2: Convert to fraction form
    229,959,427,512/500,411,859,756 = 500,411,859,756/x
  3. Step 3: Cross multiply
    229,959,427,512x = 500,411,859,756 × 500,411,859,756
  4. Step 4: Simplify right side
    229,959,427,512x = 250,412,029,384,458,600,710,144
  5. Step 5: Solve for x
    x = 250,412,029,384,458,600,710,144/229,959,427,512
  6. Step 6: Final answer
    x = 1,088,940,045,179.89

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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.