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Finding the Third Proportional to 569,101,728 and 1,317,388,464

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Solution

The third proportional to 569,101,728 and 1,317,388,464 is: 3,049,564,391.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,101,728 : 1,317,388,464 = 1,317,388,464 : x
  2. Step 2: Convert to fraction form
    569,101,728/1,317,388,464 = 1,317,388,464/x
  3. Step 3: Cross multiply
    569,101,728x = 1,317,388,464 × 1,317,388,464
  4. Step 4: Simplify right side
    569,101,728x = 1,735,512,365,080,279,296
  5. Step 5: Solve for x
    x = 1,735,512,365,080,279,296/569,101,728
  6. Step 6: Final answer
    x = 3,049,564,391.90

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.