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Finding the Third Proportional to 1,376,464,074 and 2,104,195,293

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Solution

The third proportional to 1,376,464,074 and 2,104,195,293 is: 3,216,675,185.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376,464,074 : 2,104,195,293 = 2,104,195,293 : x
  2. Step 2: Convert to fraction form
    1,376,464,074/2,104,195,293 = 2,104,195,293/x
  3. Step 3: Cross multiply
    1,376,464,074x = 2,104,195,293 × 2,104,195,293
  4. Step 4: Simplify right side
    1,376,464,074x = 4,427,637,831,083,355,648
  5. Step 5: Solve for x
    x = 4,427,637,831,083,355,648/1,376,464,074
  6. Step 6: Final answer
    x = 3,216,675,185.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.