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Finding the Third Proportional to 47,376,027,654 and 73,594,231,857

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Solution

The third proportional to 47,376,027,654 and 73,594,231,857 is: 114,321,762,098.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,376,027,654 : 73,594,231,857 = 73,594,231,857 : x
  2. Step 2: Convert to fraction form
    47,376,027,654/73,594,231,857 = 73,594,231,857/x
  3. Step 3: Cross multiply
    47,376,027,654x = 73,594,231,857 × 73,594,231,857
  4. Step 4: Simplify right side
    47,376,027,654x = 5,416,110,962,621,873,651,712
  5. Step 5: Solve for x
    x = 5,416,110,962,621,873,651,712/47,376,027,654
  6. Step 6: Final answer
    x = 114,321,762,098.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.