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Finding the Third Proportional to 39,029,000,315 and 52,659,284,767

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Solution

The third proportional to 39,029,000,315 and 52,659,284,767 is: 71,049,738,650.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,029,000,315 : 52,659,284,767 = 52,659,284,767 : x
  2. Step 2: Convert to fraction form
    39,029,000,315/52,659,284,767 = 52,659,284,767/x
  3. Step 3: Cross multiply
    39,029,000,315x = 52,659,284,767 × 52,659,284,767
  4. Step 4: Simplify right side
    39,029,000,315x = 2,773,000,272,171,998,117,888
  5. Step 5: Solve for x
    x = 2,773,000,272,171,998,117,888/39,029,000,315
  6. Step 6: Final answer
    x = 71,049,738,650.52

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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.