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Finding the Third Proportional to 39,029,000,313 and 52,659,284,764.50

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Solution

The third proportional to 39,029,000,313 and 52,659,284,764.50 is: 71,049,738,647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,029,000,313 : 52,659,284,764.50 = 52,659,284,764.50 : x
  2. Step 2: Convert to fraction form
    39,029,000,313/52,659,284,764.50 = 52,659,284,764.50/x
  3. Step 3: Cross multiply
    39,029,000,313x = 52,659,284,764.50 × 52,659,284,764.50
  4. Step 4: Simplify right side
    39,029,000,313x = 2,773,000,271,908,701,732,864
  5. Step 5: Solve for x
    x = 2,773,000,271,908,701,732,864/39,029,000,313
  6. Step 6: Final answer
    x = 71,049,738,647.42

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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.