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Finding the Third Proportional to 35,918,091.98 and 78,789,408.75

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Solution

The third proportional to 35,918,091.98 and 78,789,408.75 is: 172,831,311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,918,091.98 : 78,789,408.75 = 78,789,408.75 : x
  2. Step 2: Convert to fraction form
    35,918,091.98/78,789,408.75 = 78,789,408.75/x
  3. Step 3: Cross multiply
    35,918,091.98x = 78,789,408.75 × 78,789,408.75
  4. Step 4: Simplify right side
    35,918,091.98x = 6,207,770,931,174,577
  5. Step 5: Solve for x
    x = 6,207,770,931,174,577/35,918,091.98
  6. Step 6: Final answer
    x = 172,831,311.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.