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Finding the Third Proportional to 8,020,419 and 17,319,242

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Solution

The third proportional to 8,020,419 and 17,319,242 is: 37,399,061.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020,419 : 17,319,242 = 17,319,242 : x
  2. Step 2: Convert to fraction form
    8,020,419/17,319,242 = 17,319,242/x
  3. Step 3: Cross multiply
    8,020,419x = 17,319,242 × 17,319,242
  4. Step 4: Simplify right side
    8,020,419x = 299,956,143,454,564
  5. Step 5: Solve for x
    x = 299,956,143,454,564/8,020,419
  6. Step 6: Final answer
    x = 37,399,061.50

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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.