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Finding the Third Proportional to 8,046,762 and 17,244,069

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Solution

The third proportional to 8,046,762 and 17,244,069 is: 36,953,735.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046,762 : 17,244,069 = 17,244,069 : x
  2. Step 2: Convert to fraction form
    8,046,762/17,244,069 = 17,244,069/x
  3. Step 3: Cross multiply
    8,046,762x = 17,244,069 × 17,244,069
  4. Step 4: Simplify right side
    8,046,762x = 297,357,915,676,761
  5. Step 5: Solve for x
    x = 297,357,915,676,761/8,046,762
  6. Step 6: Final answer
    x = 36,953,735.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.