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Finding the Third Proportional to 27,599,841,976 and 45,063,285,414

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Solution

The third proportional to 27,599,841,976 and 45,063,285,414 is: 73,576,497,070.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,599,841,976 : 45,063,285,414 = 45,063,285,414 : x
  2. Step 2: Convert to fraction form
    27,599,841,976/45,063,285,414 = 45,063,285,414/x
  3. Step 3: Cross multiply
    27,599,841,976x = 45,063,285,414 × 45,063,285,414
  4. Step 4: Simplify right side
    27,599,841,976x = 2,030,699,692,303,625,224,192
  5. Step 5: Solve for x
    x = 2,030,699,692,303,625,224,192/27,599,841,976
  6. Step 6: Final answer
    x = 73,576,497,070.87

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.