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Finding the Third Proportional to 737,223,006 and 1,583,853,544

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Solution

The third proportional to 737,223,006 and 1,583,853,544 is: 3,402,758,769.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,223,006 : 1,583,853,544 = 1,583,853,544 : x
  2. Step 2: Convert to fraction form
    737,223,006/1,583,853,544 = 1,583,853,544/x
  3. Step 3: Cross multiply
    737,223,006x = 1,583,853,544 × 1,583,853,544
  4. Step 4: Simplify right side
    737,223,006x = 2,508,592,048,841,359,872
  5. Step 5: Solve for x
    x = 2,508,592,048,841,359,872/737,223,006
  6. Step 6: Final answer
    x = 3,402,758,769.63

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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.