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Finding the Third Proportional to 837,735,958.13 and 1,349,815,791

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Solution

The third proportional to 837,735,958.13 and 1,349,815,791 is: 2,174,912,813.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,735,958.13 : 1,349,815,791 = 1,349,815,791 : x
  2. Step 2: Convert to fraction form
    837,735,958.13/1,349,815,791 = 1,349,815,791/x
  3. Step 3: Cross multiply
    837,735,958.13x = 1,349,815,791 × 1,349,815,791
  4. Step 4: Simplify right side
    837,735,958.13x = 1,822,002,669,632,955,648
  5. Step 5: Solve for x
    x = 1,822,002,669,632,955,648/837,735,958.13
  6. Step 6: Final answer
    x = 2,174,912,813.47

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.