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Finding the Third Proportional to 1,348,449,422,562 and 1,948,276,554,687

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Solution

The third proportional to 1,348,449,422,562 and 1,948,276,554,687 is: 2,814,923,177,712.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348,449,422,562 : 1,948,276,554,687 = 1,948,276,554,687 : x
  2. Step 2: Convert to fraction form
    1,348,449,422,562/1,948,276,554,687 = 1,948,276,554,687/x
  3. Step 3: Cross multiply
    1,348,449,422,562x = 1,948,276,554,687 × 1,948,276,554,687
  4. Step 4: Simplify right side
    1,348,449,422,562x = 3,795,781,533,543,047,154,892,800
  5. Step 5: Solve for x
    x = 3,795,781,533,543,047,154,892,800/1,348,449,422,562
  6. Step 6: Final answer
    x = 2,814,923,177,712.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.