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Finding the Third Proportional to 7,615,878 and 16,485,708

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Solution

The third proportional to 7,615,878 and 16,485,708 is: 35,685,782.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615,878 : 16,485,708 = 16,485,708 : x
  2. Step 2: Convert to fraction form
    7,615,878/16,485,708 = 16,485,708/x
  3. Step 3: Cross multiply
    7,615,878x = 16,485,708 × 16,485,708
  4. Step 4: Simplify right side
    7,615,878x = 271,778,568,261,264
  5. Step 5: Solve for x
    x = 271,778,568,261,264/7,615,878
  6. Step 6: Final answer
    x = 35,685,782.82

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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.