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Finding the Third Proportional to 344,916,174 and 734,985,150

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Solution

The third proportional to 344,916,174 and 734,985,150 is: 1,566,186,834.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,916,174 : 734,985,150 = 734,985,150 : x
  2. Step 2: Convert to fraction form
    344,916,174/734,985,150 = 734,985,150/x
  3. Step 3: Cross multiply
    344,916,174x = 734,985,150 × 734,985,150
  4. Step 4: Simplify right side
    344,916,174x = 540,203,170,720,522,496
  5. Step 5: Solve for x
    x = 540,203,170,720,522,496/344,916,174
  6. Step 6: Final answer
    x = 1,566,186,834.49

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.