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Finding the Third Proportional to 1,766,764,051 and 3,827,971,614

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Solution

The third proportional to 1,766,764,051 and 3,827,971,614 is: 8,293,901,310.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766,764,051 : 3,827,971,614 = 3,827,971,614 : x
  2. Step 2: Convert to fraction form
    1,766,764,051/3,827,971,614 = 3,827,971,614/x
  3. Step 3: Cross multiply
    1,766,764,051x = 3,827,971,614 × 3,827,971,614
  4. Step 4: Simplify right side
    1,766,764,051x = 14,653,366,677,589,764,096
  5. Step 5: Solve for x
    x = 14,653,366,677,589,764,096/1,766,764,051
  6. Step 6: Final answer
    x = 8,293,901,310.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.