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Finding the Third Proportional to 736,674,949.13 and 1,104,741,839.81

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Solution

The third proportional to 736,674,949.13 and 1,104,741,839.81 is: 1,656,706,983.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,674,949.13 : 1,104,741,839.81 = 1,104,741,839.81 : x
  2. Step 2: Convert to fraction form
    736,674,949.13/1,104,741,839.81 = 1,104,741,839.81/x
  3. Step 3: Cross multiply
    736,674,949.13x = 1,104,741,839.81 × 1,104,741,839.81
  4. Step 4: Simplify right side
    736,674,949.13x = 1,220,454,532,632,307,456
  5. Step 5: Solve for x
    x = 1,220,454,532,632,307,456/736,674,949.13
  6. Step 6: Final answer
    x = 1,656,706,983.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.