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Finding the Third Proportional to 11,666,810 and 16,806,447

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Solution

The third proportional to 11,666,810 and 16,806,447 is: 24,210,273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666,810 : 16,806,447 = 16,806,447 : x
  2. Step 2: Convert to fraction form
    11,666,810/16,806,447 = 16,806,447/x
  3. Step 3: Cross multiply
    11,666,810x = 16,806,447 × 16,806,447
  4. Step 4: Simplify right side
    11,666,810x = 282,456,660,763,809
  5. Step 5: Solve for x
    x = 282,456,660,763,809/11,666,810
  6. Step 6: Final answer
    x = 24,210,273.48

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.