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Finding the Third Proportional to 266,465,296 and 616,828,744

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Solution

The third proportional to 266,465,296 and 616,828,744 is: 1,427,869,614.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,465,296 : 616,828,744 = 616,828,744 : x
  2. Step 2: Convert to fraction form
    266,465,296/616,828,744 = 616,828,744/x
  3. Step 3: Cross multiply
    266,465,296x = 616,828,744 × 616,828,744
  4. Step 4: Simplify right side
    266,465,296x = 380,477,699,424,617,536
  5. Step 5: Solve for x
    x = 380,477,699,424,617,536/266,465,296
  6. Step 6: Final answer
    x = 1,427,869,614.30

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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.