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Finding the Third Proportional to 737,223,529 and 1,583,854,730

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Solution

The third proportional to 737,223,529 and 1,583,854,730 is: 3,402,761,451.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,223,529 : 1,583,854,730 = 1,583,854,730 : x
  2. Step 2: Convert to fraction form
    737,223,529/1,583,854,730 = 1,583,854,730/x
  3. Step 3: Cross multiply
    737,223,529x = 1,583,854,730 × 1,583,854,730
  4. Step 4: Simplify right side
    737,223,529x = 2,508,595,805,743,372,800
  5. Step 5: Solve for x
    x = 2,508,595,805,743,372,800/737,223,529
  6. Step 6: Final answer
    x = 3,402,761,451.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.