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Finding the Third Proportional to 4,418,315,754 and 6,860,277,513

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Solution

The third proportional to 4,418,315,754 and 6,860,277,513 is: 10,651,888,677.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,418,315,754 : 6,860,277,513 = 6,860,277,513 : x
  2. Step 2: Convert to fraction form
    4,418,315,754/6,860,277,513 = 6,860,277,513/x
  3. Step 3: Cross multiply
    4,418,315,754x = 6,860,277,513 × 6,860,277,513
  4. Step 4: Simplify right side
    4,418,315,754x = 47,063,407,555,373,465,600
  5. Step 5: Solve for x
    x = 47,063,407,555,373,465,600/4,418,315,754
  6. Step 6: Final answer
    x = 10,651,888,677.89

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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.