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Finding the Third Proportional to 2,372,420,734 and 5,101,882,630

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Solution

The third proportional to 2,372,420,734 and 5,101,882,630 is: 10,971,581,051.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372,420,734 : 5,101,882,630 = 5,101,882,630 : x
  2. Step 2: Convert to fraction form
    2,372,420,734/5,101,882,630 = 5,101,882,630/x
  3. Step 3: Cross multiply
    2,372,420,734x = 5,101,882,630 × 5,101,882,630
  4. Step 4: Simplify right side
    2,372,420,734x = 26,029,206,370,295,717,888
  5. Step 5: Solve for x
    x = 26,029,206,370,295,717,888/2,372,420,734
  6. Step 6: Final answer
    x = 10,971,581,051.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.