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Finding the Third Proportional to 26,862,409,010 and 57,498,348,060

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Solution

The third proportional to 26,862,409,010 and 57,498,348,060 is: 123,073,847,486.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,862,409,010 : 57,498,348,060 = 57,498,348,060 : x
  2. Step 2: Convert to fraction form
    26,862,409,010/57,498,348,060 = 57,498,348,060/x
  3. Step 3: Cross multiply
    26,862,409,010x = 57,498,348,060 × 57,498,348,060
  4. Step 4: Simplify right side
    26,862,409,010x = 3,306,060,029,628,905,947,136
  5. Step 5: Solve for x
    x = 3,306,060,029,628,905,947,136/26,862,409,010
  6. Step 6: Final answer
    x = 123,073,847,486.95

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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.