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Finding the Third Proportional to 17,300,729 and 36,837,666

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Solution

The third proportional to 17,300,729 and 36,837,666 is: 78,436,789.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,300,729 : 36,837,666 = 36,837,666 : x
  2. Step 2: Convert to fraction form
    17,300,729/36,837,666 = 36,837,666/x
  3. Step 3: Cross multiply
    17,300,729x = 36,837,666 × 36,837,666
  4. Step 4: Simplify right side
    17,300,729x = 1,357,013,636,327,556
  5. Step 5: Solve for x
    x = 1,357,013,636,327,556/17,300,729
  6. Step 6: Final answer
    x = 78,436,789.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.