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Finding the Third Proportional to 4,418,315,810 and 6,860,277,603

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Solution

The third proportional to 4,418,315,810 and 6,860,277,603 is: 10,651,888,822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,418,315,810 : 6,860,277,603 = 6,860,277,603 : x
  2. Step 2: Convert to fraction form
    4,418,315,810/6,860,277,603 = 6,860,277,603/x
  3. Step 3: Cross multiply
    4,418,315,810x = 6,860,277,603 × 6,860,277,603
  4. Step 4: Simplify right side
    4,418,315,810x = 47,063,408,790,223,429,632
  5. Step 5: Solve for x
    x = 47,063,408,790,223,429,632/4,418,315,810
  6. Step 6: Final answer
    x = 10,651,888,822.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.