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Finding the Third Proportional to 7,540,462 and 16,276,322

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Solution

The third proportional to 7,540,462 and 16,276,322 is: 35,132,947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540,462 : 16,276,322 = 16,276,322 : x
  2. Step 2: Convert to fraction form
    7,540,462/16,276,322 = 16,276,322/x
  3. Step 3: Cross multiply
    7,540,462x = 16,276,322 × 16,276,322
  4. Step 4: Simplify right side
    7,540,462x = 264,918,657,847,684
  5. Step 5: Solve for x
    x = 264,918,657,847,684/7,540,462
  6. Step 6: Final answer
    x = 35,132,947.80

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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.