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Finding the Third Proportional to 4,408,551,514 and 9,518,407,771

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Solution

The third proportional to 4,408,551,514 and 9,518,407,771 is: 20,550,987,372.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,408,551,514 : 9,518,407,771 = 9,518,407,771 : x
  2. Step 2: Convert to fraction form
    4,408,551,514/9,518,407,771 = 9,518,407,771/x
  3. Step 3: Cross multiply
    4,408,551,514x = 9,518,407,771 × 9,518,407,771
  4. Step 4: Simplify right side
    4,408,551,514x = 90,600,086,495,033,196,544
  5. Step 5: Solve for x
    x = 90,600,086,495,033,196,544/4,408,551,514
  6. Step 6: Final answer
    x = 20,550,987,372.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.