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Finding the Third Proportional to 5,578,804,450 and 12,138,224,411

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Solution

The third proportional to 5,578,804,450 and 12,138,224,411 is: 26,410,047,739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578,804,450 : 12,138,224,411 = 12,138,224,411 : x
  2. Step 2: Convert to fraction form
    5,578,804,450/12,138,224,411 = 12,138,224,411/x
  3. Step 3: Cross multiply
    5,578,804,450x = 12,138,224,411 × 12,138,224,411
  4. Step 4: Simplify right side
    5,578,804,450x = 147,336,491,851,796,299,776
  5. Step 5: Solve for x
    x = 147,336,491,851,796,299,776/5,578,804,450
  6. Step 6: Final answer
    x = 26,410,047,739.13

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Why These Related Problems?

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