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Finding the Third Proportional to 13,449,206 and 21,013,617

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Solution

The third proportional to 13,449,206 and 21,013,617 is: 32,832,577.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,449,206 : 21,013,617 = 21,013,617 : x
  2. Step 2: Convert to fraction form
    13,449,206/21,013,617 = 21,013,617/x
  3. Step 3: Cross multiply
    13,449,206x = 21,013,617 × 21,013,617
  4. Step 4: Simplify right side
    13,449,206x = 441,572,099,422,689
  5. Step 5: Solve for x
    x = 441,572,099,422,689/13,449,206
  6. Step 6: Final answer
    x = 32,832,577.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.