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Finding the Third Proportional to 7,881,804 and 17,021,016

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Solution

The third proportional to 7,881,804 and 17,021,016 is: 36,757,446.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881,804 : 17,021,016 = 17,021,016 : x
  2. Step 2: Convert to fraction form
    7,881,804/17,021,016 = 17,021,016/x
  3. Step 3: Cross multiply
    7,881,804x = 17,021,016 × 17,021,016
  4. Step 4: Simplify right side
    7,881,804x = 289,714,985,672,256
  5. Step 5: Solve for x
    x = 289,714,985,672,256/7,881,804
  6. Step 6: Final answer
    x = 36,757,446.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.