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Finding the Third Proportional to 3,849,679,077 and 8,251,864,815

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Solution

The third proportional to 3,849,679,077 and 8,251,864,815 is: 17,688,038,811.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849,679,077 : 8,251,864,815 = 8,251,864,815 : x
  2. Step 2: Convert to fraction form
    3,849,679,077/8,251,864,815 = 8,251,864,815/x
  3. Step 3: Cross multiply
    3,849,679,077x = 8,251,864,815 × 8,251,864,815
  4. Step 4: Simplify right side
    3,849,679,077x = 68,093,272,925,034,987,520
  5. Step 5: Solve for x
    x = 68,093,272,925,034,987,520/3,849,679,077
  6. Step 6: Final answer
    x = 17,688,038,811.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.