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Finding the Third Proportional to 508,728,704 and 1,101,971,888

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Solution

The third proportional to 508,728,704 and 1,101,971,888 is: 2,387,013,023.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,728,704 : 1,101,971,888 = 1,101,971,888 : x
  2. Step 2: Convert to fraction form
    508,728,704/1,101,971,888 = 1,101,971,888/x
  3. Step 3: Cross multiply
    508,728,704x = 1,101,971,888 × 1,101,971,888
  4. Step 4: Simplify right side
    508,728,704x = 1,214,342,041,942,284,544
  5. Step 5: Solve for x
    x = 1,214,342,041,942,284,544/508,728,704
  6. Step 6: Final answer
    x = 2,387,013,023.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.