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Finding the Third Proportional to 39,029,001,298 and 52,659,286,076

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Solution

The third proportional to 39,029,001,298 and 52,659,286,076 is: 71,049,740,393.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,029,001,298 : 52,659,286,076 = 52,659,286,076 : x
  2. Step 2: Convert to fraction form
    39,029,001,298/52,659,286,076 = 52,659,286,076/x
  3. Step 3: Cross multiply
    39,029,001,298x = 52,659,286,076 × 52,659,286,076
  4. Step 4: Simplify right side
    39,029,001,298x = 2,773,000,410,034,007,441,408
  5. Step 5: Solve for x
    x = 2,773,000,410,034,007,441,408/39,029,001,298
  6. Step 6: Final answer
    x = 71,049,740,393.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.