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Finding the Third Proportional to 1,766,764,049 and 3,827,971,610

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Solution

The third proportional to 1,766,764,049 and 3,827,971,610 is: 8,293,901,302.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766,764,049 : 3,827,971,610 = 3,827,971,610 : x
  2. Step 2: Convert to fraction form
    1,766,764,049/3,827,971,610 = 3,827,971,610/x
  3. Step 3: Cross multiply
    1,766,764,049x = 3,827,971,610 × 3,827,971,610
  4. Step 4: Simplify right side
    1,766,764,049x = 14,653,366,646,965,991,424
  5. Step 5: Solve for x
    x = 14,653,366,646,965,991,424/1,766,764,049
  6. Step 6: Final answer
    x = 8,293,901,302.36

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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.