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Finding the Third Proportional to 42,706,984 and 66,184,026

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Solution

The third proportional to 42,706,984 and 66,184,026 is: 102,566,954.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,706,984 : 66,184,026 = 66,184,026 : x
  2. Step 2: Convert to fraction form
    42,706,984/66,184,026 = 66,184,026/x
  3. Step 3: Cross multiply
    42,706,984x = 66,184,026 × 66,184,026
  4. Step 4: Simplify right side
    42,706,984x = 4,380,325,297,568,676
  5. Step 5: Solve for x
    x = 4,380,325,297,568,676/42,706,984
  6. Step 6: Final answer
    x = 102,566,954.80

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