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Finding the Third Proportional to 1,766,760,852 and 3,827,965,848

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Solution

The third proportional to 1,766,760,852 and 3,827,965,848 is: 8,293,891,341.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766,760,852 : 3,827,965,848 = 3,827,965,848 : x
  2. Step 2: Convert to fraction form
    1,766,760,852/3,827,965,848 = 3,827,965,848/x
  3. Step 3: Cross multiply
    1,766,760,852x = 3,827,965,848 × 3,827,965,848
  4. Step 4: Simplify right side
    1,766,760,852x = 14,653,322,533,454,358,528
  5. Step 5: Solve for x
    x = 14,653,322,533,454,358,528/1,766,760,852
  6. Step 6: Final answer
    x = 8,293,891,341.81

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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.