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Finding the Third Proportional to 26,862,409,348 and 57,498,348,744

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Solution

The third proportional to 26,862,409,348 and 57,498,348,744 is: 123,073,848,866.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,862,409,348 : 57,498,348,744 = 57,498,348,744 : x
  2. Step 2: Convert to fraction form
    26,862,409,348/57,498,348,744 = 57,498,348,744/x
  3. Step 3: Cross multiply
    26,862,409,348x = 57,498,348,744 × 57,498,348,744
  4. Step 4: Simplify right side
    26,862,409,348x = 3,306,060,108,286,646,550,528
  5. Step 5: Solve for x
    x = 3,306,060,108,286,646,550,528/26,862,409,348
  6. Step 6: Final answer
    x = 123,073,848,866.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.