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Finding the Third Proportional to 1,325,429,496 and 1,976,650,264

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Solution

The third proportional to 1,325,429,496 and 1,976,650,264 is: 2,947,834,100.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325,429,496 : 1,976,650,264 = 1,976,650,264 : x
  2. Step 2: Convert to fraction form
    1,325,429,496/1,976,650,264 = 1,976,650,264/x
  3. Step 3: Cross multiply
    1,325,429,496x = 1,976,650,264 × 1,976,650,264
  4. Step 4: Simplify right side
    1,325,429,496x = 3,907,146,266,171,269,632
  5. Step 5: Solve for x
    x = 3,907,146,266,171,269,632/1,325,429,496
  6. Step 6: Final answer
    x = 2,947,834,100.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.