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Finding the Third Proportional to 45,199,667,646 and 74,425,980,242

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Solution

The third proportional to 45,199,667,646 and 74,425,980,242 is: 122,550,160,730.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,199,667,646 : 74,425,980,242 = 74,425,980,242 : x
  2. Step 2: Convert to fraction form
    45,199,667,646/74,425,980,242 = 74,425,980,242/x
  3. Step 3: Cross multiply
    45,199,667,646x = 74,425,980,242 × 74,425,980,242
  4. Step 4: Simplify right side
    45,199,667,646x = 5,539,226,534,982,573,883,392
  5. Step 5: Solve for x
    x = 5,539,226,534,982,573,883,392/45,199,667,646
  6. Step 6: Final answer
    x = 122,550,160,730.50

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.