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Finding the Third Proportional to 1,874,413,282 and 3,903,970,641

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Solution

The third proportional to 1,874,413,282 and 3,903,970,641 is: 8,131,070,619.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874,413,282 : 3,903,970,641 = 3,903,970,641 : x
  2. Step 2: Convert to fraction form
    1,874,413,282/3,903,970,641 = 3,903,970,641/x
  3. Step 3: Cross multiply
    1,874,413,282x = 3,903,970,641 × 3,903,970,641
  4. Step 4: Simplify right side
    1,874,413,282x = 15,240,986,765,789,949,952
  5. Step 5: Solve for x
    x = 15,240,986,765,789,949,952/1,874,413,282
  6. Step 6: Final answer
    x = 8,131,070,619.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.