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Finding the Third Proportional to 8,220,935 and 17,666,590

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Solution

The third proportional to 8,220,935 and 17,666,590 is: 37,965,073.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220,935 : 17,666,590 = 17,666,590 : x
  2. Step 2: Convert to fraction form
    8,220,935/17,666,590 = 17,666,590/x
  3. Step 3: Cross multiply
    8,220,935x = 17,666,590 × 17,666,590
  4. Step 4: Simplify right side
    8,220,935x = 312,108,402,228,100
  5. Step 5: Solve for x
    x = 312,108,402,228,100/8,220,935
  6. Step 6: Final answer
    x = 37,965,073.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.