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Finding the Third Proportional to 468,894,968 and 689,296,404

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Solution

The third proportional to 468,894,968 and 689,296,404 is: 1,013,296,292.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,894,968 : 689,296,404 = 689,296,404 : x
  2. Step 2: Convert to fraction form
    468,894,968/689,296,404 = 689,296,404/x
  3. Step 3: Cross multiply
    468,894,968x = 689,296,404 × 689,296,404
  4. Step 4: Simplify right side
    468,894,968x = 475,129,532,567,331,200
  5. Step 5: Solve for x
    x = 475,129,532,567,331,200/468,894,968
  6. Step 6: Final answer
    x = 1,013,296,292.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.