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Finding the Third Proportional to 442,572,138 and 965,239,495

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Solution

The third proportional to 442,572,138 and 965,239,495 is: 2,105,164,791.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,572,138 : 965,239,495 = 965,239,495 : x
  2. Step 2: Convert to fraction form
    442,572,138/965,239,495 = 965,239,495/x
  3. Step 3: Cross multiply
    442,572,138x = 965,239,495 × 965,239,495
  4. Step 4: Simplify right side
    442,572,138x = 931,687,282,707,854,976
  5. Step 5: Solve for x
    x = 931,687,282,707,854,976/442,572,138
  6. Step 6: Final answer
    x = 2,105,164,791.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.