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Finding the Third Proportional to 15,122,672,451,903 and 32,538,977,430,711

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Solution

The third proportional to 15,122,672,451,903 and 32,538,977,430,711 is: 70,013,091,641,291.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,122,672,451,903 : 32,538,977,430,711 = 32,538,977,430,711 : x
  2. Step 2: Convert to fraction form
    15,122,672,451,903/32,538,977,430,711 = 32,538,977,430,711/x
  3. Step 3: Cross multiply
    15,122,672,451,903x = 32,538,977,430,711 × 32,538,977,430,711
  4. Step 4: Simplify right side
    15,122,672,451,903x = 1,058,785,052,236,319,885,105,299,456
  5. Step 5: Solve for x
    x = 1,058,785,052,236,319,885,105,299,456/15,122,672,451,903
  6. Step 6: Final answer
    x = 70,013,091,641,291.55

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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.