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Finding the Third Proportional to 1,376,464,029 and 2,104,195,200

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Solution

The third proportional to 1,376,464,029 and 2,104,195,200 is: 3,216,675,006.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376,464,029 : 2,104,195,200 = 2,104,195,200 : x
  2. Step 2: Convert to fraction form
    1,376,464,029/2,104,195,200 = 2,104,195,200/x
  3. Step 3: Cross multiply
    1,376,464,029x = 2,104,195,200 × 2,104,195,200
  4. Step 4: Simplify right side
    1,376,464,029x = 4,427,637,439,703,040,000
  5. Step 5: Solve for x
    x = 4,427,637,439,703,040,000/1,376,464,029
  6. Step 6: Final answer
    x = 3,216,675,006.70

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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.