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Finding the Third Proportional to 17,762,442 and 38,265,708

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Solution

The third proportional to 17,762,442 and 38,265,708 is: 82,435,985.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762,442 : 38,265,708 = 38,265,708 : x
  2. Step 2: Convert to fraction form
    17,762,442/38,265,708 = 38,265,708/x
  3. Step 3: Cross multiply
    17,762,442x = 38,265,708 × 38,265,708
  4. Step 4: Simplify right side
    17,762,442x = 1,464,264,408,741,264
  5. Step 5: Solve for x
    x = 1,464,264,408,741,264/17,762,442
  6. Step 6: Final answer
    x = 82,435,985.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.