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Finding the Third Proportional to 4,716,582,081 and 10,095,731,850

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Solution

The third proportional to 4,716,582,081 and 10,095,731,850 is: 21,609,674,089.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716,582,081 : 10,095,731,850 = 10,095,731,850 : x
  2. Step 2: Convert to fraction form
    4,716,582,081/10,095,731,850 = 10,095,731,850/x
  3. Step 3: Cross multiply
    4,716,582,081x = 10,095,731,850 × 10,095,731,850
  4. Step 4: Simplify right side
    4,716,582,081x = 101,923,801,587,104,415,744
  5. Step 5: Solve for x
    x = 101,923,801,587,104,415,744/4,716,582,081
  6. Step 6: Final answer
    x = 21,609,674,089.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.