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Finding the Third Proportional to 1,376,464,076 and 2,104,195,296

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Solution

The third proportional to 1,376,464,076 and 2,104,195,296 is: 3,216,675,190.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376,464,076 : 2,104,195,296 = 2,104,195,296 : x
  2. Step 2: Convert to fraction form
    1,376,464,076/2,104,195,296 = 2,104,195,296/x
  3. Step 3: Cross multiply
    1,376,464,076x = 2,104,195,296 × 2,104,195,296
  4. Step 4: Simplify right side
    1,376,464,076x = 4,427,637,843,708,527,616
  5. Step 5: Solve for x
    x = 4,427,637,843,708,527,616/1,376,464,076
  6. Step 6: Final answer
    x = 3,216,675,190.37

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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.