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Finding the Third Proportional to 4,251,406,080 and 5,984,307,758

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Solution

The third proportional to 4,251,406,080 and 5,984,307,758 is: 8,423,551,801.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,251,406,080 : 5,984,307,758 = 5,984,307,758 : x
  2. Step 2: Convert to fraction form
    4,251,406,080/5,984,307,758 = 5,984,307,758/x
  3. Step 3: Cross multiply
    4,251,406,080x = 5,984,307,758 × 5,984,307,758
  4. Step 4: Simplify right side
    4,251,406,080x = 35,811,939,342,458,986,496
  5. Step 5: Solve for x
    x = 35,811,939,342,458,986,496/4,251,406,080
  6. Step 6: Final answer
    x = 8,423,551,801.12

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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.