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Finding the Third Proportional to 6,642,197 and 10,846,110

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Solution

The third proportional to 6,642,197 and 10,846,110 is: 17,710,721.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642,197 : 10,846,110 = 10,846,110 : x
  2. Step 2: Convert to fraction form
    6,642,197/10,846,110 = 10,846,110/x
  3. Step 3: Cross multiply
    6,642,197x = 10,846,110 × 10,846,110
  4. Step 4: Simplify right side
    6,642,197x = 117,638,102,132,100
  5. Step 5: Solve for x
    x = 117,638,102,132,100/6,642,197
  6. Step 6: Final answer
    x = 17,710,721.64

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.