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Finding the Third Proportional to 4,251,406,084 and 5,984,307,764

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Solution

The third proportional to 4,251,406,084 and 5,984,307,764 is: 8,423,551,810.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,251,406,084 : 5,984,307,764 = 5,984,307,764 : x
  2. Step 2: Convert to fraction form
    4,251,406,084/5,984,307,764 = 5,984,307,764/x
  3. Step 3: Cross multiply
    4,251,406,084x = 5,984,307,764 × 5,984,307,764
  4. Step 4: Simplify right side
    4,251,406,084x = 35,811,939,414,270,681,088
  5. Step 5: Solve for x
    x = 35,811,939,414,270,681,088/4,251,406,084
  6. Step 6: Final answer
    x = 8,423,551,810.08

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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.