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Finding the Third Proportional to 513,108,048 and 1,120,303,023

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Solution

The third proportional to 513,108,048 and 1,120,303,023 is: 2,446,032,308.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,108,048 : 1,120,303,023 = 1,120,303,023 : x
  2. Step 2: Convert to fraction form
    513,108,048/1,120,303,023 = 1,120,303,023/x
  3. Step 3: Cross multiply
    513,108,048x = 1,120,303,023 × 1,120,303,023
  4. Step 4: Simplify right side
    513,108,048x = 1,255,078,863,342,938,624
  5. Step 5: Solve for x
    x = 1,255,078,863,342,938,624/513,108,048
  6. Step 6: Final answer
    x = 2,446,032,308.86

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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.