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Finding the Third Proportional to 4,418,315,756 and 6,860,277,516

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Solution

The third proportional to 4,418,315,756 and 6,860,277,516 is: 10,651,888,682.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,418,315,756 : 6,860,277,516 = 6,860,277,516 : x
  2. Step 2: Convert to fraction form
    4,418,315,756/6,860,277,516 = 6,860,277,516/x
  3. Step 3: Cross multiply
    4,418,315,756x = 6,860,277,516 × 6,860,277,516
  4. Step 4: Simplify right side
    4,418,315,756x = 47,063,407,596,535,128,064
  5. Step 5: Solve for x
    x = 47,063,407,596,535,128,064/4,418,315,756
  6. Step 6: Final answer
    x = 10,651,888,682.38

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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.