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Finding the Third Proportional to 4,251,406,078 and 5,984,307,755

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Solution

The third proportional to 4,251,406,078 and 5,984,307,755 is: 8,423,551,796.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,251,406,078 : 5,984,307,755 = 5,984,307,755 : x
  2. Step 2: Convert to fraction form
    4,251,406,078/5,984,307,755 = 5,984,307,755/x
  3. Step 3: Cross multiply
    4,251,406,078x = 5,984,307,755 × 5,984,307,755
  4. Step 4: Simplify right side
    4,251,406,078x = 35,811,939,306,553,139,200
  5. Step 5: Solve for x
    x = 35,811,939,306,553,139,200/4,251,406,078
  6. Step 6: Final answer
    x = 8,423,551,796.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.