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Finding the Third Proportional to 13,751,146 and 29,141,509

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Solution

The third proportional to 13,751,146 and 29,141,509 is: 61,756,856.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751,146 : 29,141,509 = 29,141,509 : x
  2. Step 2: Convert to fraction form
    13,751,146/29,141,509 = 29,141,509/x
  3. Step 3: Cross multiply
    13,751,146x = 29,141,509 × 29,141,509
  4. Step 4: Simplify right side
    13,751,146x = 849,227,546,797,081
  5. Step 5: Solve for x
    x = 849,227,546,797,081/13,751,146
  6. Step 6: Final answer
    x = 61,756,856.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.