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Finding the Third Proportional to 24,824,193,099,714 and 58,000,518,414,456

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Solution

The third proportional to 24,824,193,099,714 and 58,000,518,414,456 is: 135,515,387,059,424.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,824,193,099,714 : 58,000,518,414,456 = 58,000,518,414,456 : x
  2. Step 2: Convert to fraction form
    24,824,193,099,714/58,000,518,414,456 = 58,000,518,414,456/x
  3. Step 3: Cross multiply
    24,824,193,099,714x = 58,000,518,414,456 × 58,000,518,414,456
  4. Step 4: Simplify right side
    24,824,193,099,714x = 3,364,060,136,345,649,722,014,302,208
  5. Step 5: Solve for x
    x = 3,364,060,136,345,649,722,014,302,208/24,824,193,099,714
  6. Step 6: Final answer
    x = 135,515,387,059,424.98

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.