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Finding the Third Proportional to 5,578,804,449 and 12,138,224,409

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Solution

The third proportional to 5,578,804,449 and 12,138,224,409 is: 26,410,047,735.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578,804,449 : 12,138,224,409 = 12,138,224,409 : x
  2. Step 2: Convert to fraction form
    5,578,804,449/12,138,224,409 = 12,138,224,409/x
  3. Step 3: Cross multiply
    5,578,804,449x = 12,138,224,409 × 12,138,224,409
  4. Step 4: Simplify right side
    5,578,804,449x = 147,336,491,803,243,397,120
  5. Step 5: Solve for x
    x = 147,336,491,803,243,397,120/5,578,804,449
  6. Step 6: Final answer
    x = 26,410,047,735.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.