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Finding the Third Proportional to 2,422,970,590.50 and 5,270,470,699.50

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Solution

The third proportional to 2,422,970,590.50 and 5,270,470,699.50 is: 11,464,382,400.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422,970,590.50 : 5,270,470,699.50 = 5,270,470,699.50 : x
  2. Step 2: Convert to fraction form
    2,422,970,590.50/5,270,470,699.50 = 5,270,470,699.50/x
  3. Step 3: Cross multiply
    2,422,970,590.50x = 5,270,470,699.50 × 5,270,470,699.50
  4. Step 4: Simplify right side
    2,422,970,590.50x = 27,777,861,394,288,017,408
  5. Step 5: Solve for x
    x = 27,777,861,394,288,017,408/2,422,970,590.50
  6. Step 6: Final answer
    x = 11,464,382,400.35

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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.