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Finding the Third Proportional to 227,752,405,953 and 489,780,763,502

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Solution

The third proportional to 227,752,405,953 and 489,780,763,502 is: 1,053,271,842,696.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,752,405,953 : 489,780,763,502 = 489,780,763,502 : x
  2. Step 2: Convert to fraction form
    227,752,405,953/489,780,763,502 = 489,780,763,502/x
  3. Step 3: Cross multiply
    227,752,405,953x = 489,780,763,502 × 489,780,763,502
  4. Step 4: Simplify right side
    227,752,405,953x = 239,885,196,296,602,051,936,256
  5. Step 5: Solve for x
    x = 239,885,196,296,602,051,936,256/227,752,405,953
  6. Step 6: Final answer
    x = 1,053,271,842,696.17

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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.