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Finding the Third Proportional to 837,735,983 and 1,349,815,828

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Solution

The third proportional to 837,735,983 and 1,349,815,828 is: 2,174,912,868.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,735,983 : 1,349,815,828 = 1,349,815,828 : x
  2. Step 2: Convert to fraction form
    837,735,983/1,349,815,828 = 1,349,815,828/x
  3. Step 3: Cross multiply
    837,735,983x = 1,349,815,828 × 1,349,815,828
  4. Step 4: Simplify right side
    837,735,983x = 1,822,002,769,519,325,696
  5. Step 5: Solve for x
    x = 1,822,002,769,519,325,696/837,735,983
  6. Step 6: Final answer
    x = 2,174,912,868.13

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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.