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Finding the Third Proportional to 7,285,947 and 15,706,857

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Solution

The third proportional to 7,285,947 and 15,706,857 is: 33,860,438.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,285,947 : 15,706,857 = 15,706,857 : x
  2. Step 2: Convert to fraction form
    7,285,947/15,706,857 = 15,706,857/x
  3. Step 3: Cross multiply
    7,285,947x = 15,706,857 × 15,706,857
  4. Step 4: Simplify right side
    7,285,947x = 246,705,356,818,449
  5. Step 5: Solve for x
    x = 246,705,356,818,449/7,285,947
  6. Step 6: Final answer
    x = 33,860,438.02

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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.